Hans Plesner Jakobsen

Hans Plesner Jakobsen

Affiliate professor, Affiliate Professor


  1. 2023
  2. Published

    Determinantal Ideals and the Canonical Commutation Relations: Classically or Quantized

    Jakobsen, Hans Plesner, 2023, In: Communications in Mathematical Physics. 398, p. 239-259

    Research output: Contribution to journalJournal articleResearchpeer-review

  3. 2022
  4. Published

    A representation of SU(2, 2) which can be interpreted as describing chronometric fermions (proton, neutrino, and electron) in terms of a single composition series

    Jakobsen, Hans Plesner & Levichev, A. V., 2022, In: Reports on Mathematical Physics. 90, 1, p. 103-121

    Research output: Contribution to journalJournal articleResearchpeer-review

  5. Published

    Algebras of variable coefficient quantized differential operators

    Jakobsen, Hans Plesner, 2022, In: Journal of Mathematical Physics. 63, 8, p. 1-34 081704.

    Research output: Contribution to journalJournal articleResearchpeer-review

  6. 2019
  7. Published

    Special classes of homomorphisms between generalized Verma modules for ${{\mathscr{U}}}_{q}(su(n,n))$

    Jakobsen, Hans Plesner, 2019, In: Journal of Physics: Conference Series. 1194, 1, 10 p., 012055.

    Research output: Contribution to journalConference articleResearchpeer-review

  8. 2018
  9. Published

    The center of Uq (nω)

    Jakobsen, Hans Plesner, 2018, In: Communications in Algebra. 46, 1, p. 262-282

    Research output: Contribution to journalJournal articleResearchpeer-review

  10. 2015
  11. Published

    Quantized Matrix Algebras and Quantum Seeds

    Jakobsen, Hans Plesner & Pagani, C., 3 Apr 2015, In: Linear and Multilinear Algebra. 63, 4, p. 713-753

    Research output: Contribution to journalJournal articleResearchpeer-review

  12. 2012
  13. Published

    Double-partition Quantum Cluster Algebras

    Jakobsen, Hans Plesner & Zhang, H., 2012, In: Journal of Algebra. 372, p. 172-203

    Research output: Contribution to journalJournal articleResearchpeer-review

  14. 2011
  15. Published

    Indecomposable finite-dimensional representations of a class of Lie algebras and Lie superalgebras

    Jakobsen, Hans Plesner, Sep 2011, Supersymmetry in Mathematics and Physics: UCLA Los Angeles, USA 2010: Lecture Notes in Mathematics. Ferrara, S., Fioresi, R. & Varadarajan, V. S. (eds.). Springer, Vol. 2027. p. 125--138 14 p.

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  16. 2006
  17. Published

    The exponential nature and positivity

    Jakobsen, Hans Plesner & Zhang, H., 2006, In: Algebras and Representation Theory. 9, p. 267-284

    Research output: Contribution to journalJournal articleResearchpeer-review

  18. 2004
  19. Published

    Matrix Chain Models and Kac-Moody Algebras

    Jakobsen, Hans Plesner & Lee, C. H., 2004, Matrix Chain Models and Kac-Moody Algebras. Providence, R.I., USA: American Mathematical Society, Vol. 343. p. 147-165

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  20. Published

    Matrix Chain Models and their q-derformations

    Jakobsen, Hans Plesner, 2004, Matrix Chain Models and their q-deformations. Singapore: World Scientific, p. 377-391

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  21. 2002
  22. Published

    Quantized symmetrizations and *-products

    Jakobsen, Hans Plesner, 2002, Quantized symmetrizations and *-products. Singapore: World Scientific, p. 396-403

    Research output: Chapter in Book/Report/Conference proceedingReport chapterResearch

  23. 2001
  24. Published

    Quantized Rank R Matrices

    Jakobsen, Hans Plesner & Jøndrup, Søren, 2001, In: Journal of Algebra. 246, p. 70-96

    Research output: Contribution to journalJournal articleResearchpeer-review

  25. Published

    Unitary Irreducible Representations of a Lie Algebra for Matrix Chain Models

    Jakobsen, Hans Plesner & Lee, H. C. W., 2001, In: Journal of Mathematical Physics. 42, p. 3817 - 3838

    Research output: Contribution to journalJournal articleResearchpeer-review

  26. 2000
  27. Published

    A class of quadratic matrix algebras arising from the quantized enveloping algebra Uq(A2n-1)

    Jakobsen, Hans Plesner & Zhang, H., 2000, In: Journal of Mathematical Physics. 41, p. 2310-2336

    Research output: Contribution to journalJournal articleResearchpeer-review

  28. Published

    Quantized Dirac Operators

    Jakobsen, Hans Plesner, 2000, In: Czechoslovak Journal of Physics. 50, p. 1265-1270

    Research output: Contribution to journalJournal articleResearchpeer-review

  29. Published

    Quantized Heisenberg Space

    Jakobsen, Hans Plesner & Zhang, H., 2000, In: Algebras and Representation Theory. 3, p. 151-174

    Research output: Contribution to journalJournal articleResearchpeer-review

  30. Published

    Unitary Irreducible Representations of a Lie Algebra for Open Matrix Chains

    Jakobsen, Hans Plesner & Lee, H. C. W., 2000, Theoretical High Energy Physics. MRST 2000. Massachusetts, U.S.A.: Americal Institute of Physics, p. 130-139

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  31. 1999
  32. Published

    Cyclic representations of the quantum matrix algebras

    Jakobsen, Hans Plesner & Zhang, H., 1999, In: Communications in Algebra. 27, p. 493-510

    Research output: Contribution to journalJournal articleResearchpeer-review

  33. 1998
  34. Published

    Quadratic algebras of type AIII.I

    Jakobsen, Hans Plesner, Jøndrup, Søren, Jensen, A. & Zhang, H. C., 1998, In: Tsinghua Science & Technology. 3, p. 1199-1202

    Research output: Contribution to journalJournal articleResearchpeer-review

  35. Published

    Quadratic algebras of type AIII.II

    Jakobsen, Hans Plesner, Jøndrup, Søren & Jensen, A., 1998, In: Tsinghua Science & Technology. 3, p. 1203-1208

    Research output: Contribution to journalJournal articleResearchpeer-review

  36. Published

    Quadratic algebras of type AIII.III

    Jakobsen, Hans Plesner, Jøndrup, Søren & Jensen, A., 1998, In: Tsinghua Science & Technology. 3, p. 1209-1212

    Research output: Contribution to journalJournal articleResearchpeer-review

  37. 1997
  38. Published

    Quantized hermitian symmetric spaces

    Jakobsen, Hans Plesner, 1997, Lie theory and its applications in physics. Singpore: World Scientific, p. 105-116

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  39. Published

    Tensoring with small quantizied representations

    Jakobsen, Hans Plesner, 1997, In: Journal of Mathematical Physics. 38, p. 4323-4335

    Research output: Contribution to journalJournal articleResearchpeer-review

  40. Published

    The center of the Dipper Donkin quantized matrix algebra

    Jakobsen, Hans Plesner & Zhang, H. C., 1997, In: Beiträge Algebra Geom.. 38, 2, p. 411-421

    Research output: Contribution to journalJournal articleResearchpeer-review

  41. Published

    The center of the quantized matrix algebra

    Jakobsen, Hans Plesner & Zhang, H. C., 1997, In: Journal of Algebra. 196, p. 458-474

    Research output: Contribution to journalJournal articleResearchpeer-review

  42. Published

    Unitarity of highest-weight modules for quantum groups

    Jakobsen, Hans Plesner, 1997, In: Letters in Mathematical Physics. 41, p. 119-133

    Research output: Contribution to journalJournal articleResearchpeer-review

  43. 1996
  44. Published

    An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties

    Jakobsen, Hans Plesner, 1996, In: Compositio Mathematica. 101, p. 313-352

    Research output: Contribution to journalJournal articleResearchpeer-review

  45. Published

    Differentialgeometri: forelæsningsnote i geometri

    Jakobsen, Hans Plesner, 1996, Museum Tusculanum. 147 p.

    Research output: Book/ReportCompendium/lecture notesEducation

  46. 1994
  47. Published

    A Classification of the Unitarizable highest Weight Modules for Affine Lie Superalgebras

    Jakobsen, Hans Plesner, 1994, In: Journal of Functional Analysis. 123, 2, p. 422-457

    Research output: Contribution to journalJournal articleResearchpeer-review

  48. Published

    Bevægelsens Geometri

    Jakobsen, Hans Plesner, 1994, In: Naturligvis. p. 30-33

    Research output: Contribution to journalJournal articleCommunication

  49. Published

    Gauss-Bonnet

    Jakobsen, Hans Plesner, 1994, In: FAMØS. 9-17.

    Research output: Contribution to journalJournal articleCommunication

  50. Published

    The Full Set of Unitarizable highest Weight Modules of basic classical Lie Superalgebras

    Jakobsen, Hans Plesner, 1994, Providence, Rhode Island, USA: American Methematical Society. 116 p.

    Research output: Book/ReportBookResearchpeer-review

  51. 1993
  52. Published

    Topological Field Theories from Quantum 6J-symbols

    Durhuus, Bergfinnur, Jakobsen, Hans Plesner & Nest, Ryszard, 1993, In: Reviews in Mathematical Physics. 5, p. 1-67

    Research output: Contribution to journalJournal articleResearchpeer-review

  53. 1992
  54. Published

    A construction of topological quantum fieldtheories from 6J-symbols

    Durhuus, Bergfinnur, Jakobsen, Hans Plesner & Nest, Ryszard, Jan 1992, In: Nuclear Physics B (Proceedings Supplements). 25, PART 1, p. 109-121 13 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  55. Published

    A construction of topological quantum field theories from 6j-symbols

    Durhuus, Bergfinnur, Jakobsen, Hans Plesner & Nest, Ryszard, 1992, In: Nuclear physics B, Proceedings supplements. 25A, p. 109-121

    Research output: Contribution to journalJournal articleResearchpeer-review

  56. Published

    Topological field theories from quantum 6j-symbols

    Jakobsen, Hans Plesner, Durhuus, Bergfinnur & Nest, Ryszard, 1992, Topological and Geometrical Methods in Field Theory, Turku 1992. Singapore: World Scientific, p. 121-134

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  57. 1989
  58. Published

    A new class of unitarizable highest weight representations of infinite dimensional Lie algebras#2

    Jakobsen, Hans Plesner & Kac, V., 1989, In: Journal of Functional Analysis. 82, p. 69-90

    Research output: Contribution to journalJournal articleResearchpeer-review

  59. 1988
  60. Published

    Højeste-vægt moduler: tensorprodukter, unitaritet, differentialoperatorer

    Jakobsen, Hans Plesner, 1988, Museum Tusculanum.

    Research output: Book/ReportDoctoral thesisResearch

  61. 1986
  62. Published

    A spin-off from highest weight representations; conformal covariants, in particular for O(3, 2)

    Jakobsen, Hans Plesner, 1986, Symposium on conformal groups and structures: Proceedings, Clausthal 1985''. Springer Science+Business Media, p. 253-265 (Lecture Notes in Physics, Vol. 261).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  63. Published

    Conformal Covariants

    Jakobsen, Hans Plesner, 1986, In: Publications of the Research Institute for Mathematical Sciences. p. 345-364

    Research output: Contribution to journalJournal articleResearchpeer-review

  64. Published

    On the range of unitarity for highest weight representations of classical Lie superalgebras

    Jakobsen, Hans Plesner, 1986, Symposium on Topological and Geometrical Methods in Field Theory, Espoo, 198''. Singapore: World Scientific, p. 103-109

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  65. 1985
  66. Published

    Basic covariant differential operators on hermitian symmetric spaces,

    Jakobsen, Hans Plesner, 1985, In: Annales Scientifiques de l'Ecole Normale Superieure. 18, p. 421-436

    Research output: Contribution to journalJournal articleResearchpeer-review

  67. Published

    Subspace structures of holomorphic representations

    Jakobsen, Hans Plesner, 1985, Sixteen research reports by the Niels Bohr fellows of the Royal Danish Academy of Science and Letters. p. 22-33

    Research output: Chapter in Book/Report/Conference proceedingReport chapterResearchpeer-review

  68. 1983
  69. Published

    Singular holomorphic representations and singular modular forms

    Jakobsen, Hans Plesner & Harris, M., 1983, In: Mathematische Annalen. 259, p. 227-244

    Research output: Contribution to journalJournal articleResearchpeer-review

  70. Published

    Covariant differential operators

    Jakobsen, Hans Plesner & Harris, M., 1983, Group Theoretical Methods In Theoretical Physics: Proceedings, Istanbul 1982. Springer Science+Business Media, (Lecture Notes in Physics, Vol. 180).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  71. Published

    Hermitian symmetric spaces and their unitary highest weight modules

    Jakobsen, Hans Plesner, 1983, In: Journal of Functional Analysis. 52, p. 385-412

    Research output: Contribution to journalJournal articleResearchpeer-review

  72. 1982
  73. Published

    Group theoretical aspects of the chronometric theory

    Jakobsen, Hans Plesner, 1982, Differential Geometric Methods in Mathematical Physics: Proceedings, Clausthal 1980. Springer, p. 165-169 (Lecture Notes in Mathematics, Vol. 905).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  74. 1981
  75. Published

    Covariant chronogeometry and extreme distances. II: Elementary particles

    Jakobsen, Hans Plesner, Segal, I., Paneitz, S., Speh, B. & Ørsted, B., 1981, In: Proceedings of the National Academy of Science of the United States of America. 78, p. 5261-5265

    Research output: Contribution to journalJournal articleResearchpeer-review

  76. Published

    The last possible place of unitarity for certain highest weight modules

    Jakobsen, Hans Plesner, 1981, In: Mathematische Annalen. 256, p. 439-447

    Research output: Contribution to journalJournal articleResearchpeer-review

  77. 1980
  78. Published

    On singular holomorphic representations

    Jakobsen, Hans Plesner, 1980, In: Inventiones Mathematicae. 62, p. 67-78

    Research output: Contribution to journalJournal articleResearchpeer-review

  79. 1979
  80. Published

    Angular Momentum of the cosmic background radiation

    Jakobsen, Hans Plesner, Segal, I. & Kon, M., 1979, In: Physical Review Letters. 42, p. 1788-1791

    Research output: Contribution to journalJournal articleResearchpeer-review

  81. Published

    Higher order tensor products of wave equations

    Jakobsen, Hans Plesner, 1979, Non-Commutative Harmonic Analysis. p. 97-115 (Lecture Notes in Mathematics, Vol. 728).

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch

  82. Published

    Restrictions and Expansions of Holomorphic Representations

    Jakobsen, Hans Plesner & Vergne, M., 1979, In: Journal of Functional Analysis. 34, p. 29-53 25 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  83. Published

    Tensor products, reproducing kernels, and power series

    Jakobsen, Hans Plesner, 1979, In: Journal of Functional Analysis. 31, p. 293-305

    Research output: Contribution to journalJournal articleResearchpeer-review

  84. 1978
  85. Published

    Intertwining differential operators for Mp(n,R) and SU(n,n)

    Jakobsen, Hans Plesner, 1978, In: Transactions of the American Mathematical Society. 246, p. 311-337

    Research output: Contribution to journalJournal articleResearchpeer-review

  86. Published

    Symmetry and causality properties of physical fields

    Jakobsen, Hans Plesner, Segal, I., Speh, B., Vergne, M. & Ørsted, B., 1978, In: Proceedings of the National Academy of Science of the United States of America. 75, p. 1609-1611

    Research output: Contribution to journalJournal articleResearchpeer-review

  87. 1977
  88. Published

    Conformal harmonic analysis and intertwining differential operators

    Jakobsen, Hans Plesner, 1977, Group Theoretical Methods in Physics: Proceedings of the Fifth International Colloquium, Université de Montréal, July 1976. Sharp, R. T. & Kolman, B. (eds.). Academic Press, p. 573-576

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  89. Published

    Wave and Dirac Operators and Representations of the Conformal Group

    Vergne, M. & Jakobsen, Hans Plesner, 1977, In: Journal of Functional Analysis. 24, p. 52-106

    Research output: Contribution to journalJournal articleResearchpeer-review

  90. 1973
  91. Published

ID: 6270