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. 2006
  15. 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

  16. 2001
  17. 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

  18. 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

  19. 2000
  20. 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

  21. Published

    Quantized Dirac Operators

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  22. 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

  23. 1999
  24. 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

  25. 1998
  26. 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

  27. 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

  28. 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

  29. 1997
  30. 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

  31. 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

  32. 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

  33. 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

  34. 1996
  35. 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

  36. 1994
  37. 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

  38. 1993
  39. 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

  40. 1992
  41. 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

  42. 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

  43. 1989
  44. 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

  45. 1986
  46. 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

  47. 1985
  48. 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

  49. 1983
  50. 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

  51. 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

  52. 1981
  53. 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

  54. 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

  55. 1980
  56. Published

    On singular holomorphic representations

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  57. 1979
  58. 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

  59. 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

  60. 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

  61. 1978
  62. 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

  63. 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

  64. 1977
  65. 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

ID: 6270