Publications by Hans Plesner Jakobsen
- 1
- (with M. Goto) On Intersecting Geodesics.
.
Preprint Series 1972/73 No. 27, Aarhus Universitet
- 2
- Conformal harmonic analysis and intertwining
differential operators. In Group Theoretical Methods in Physics,
pp. 573-576, Academic Press 1976
- 3
- (with M. Vergne) Wave and Dirac operators, and representations of the
conformal group , J. Functional Analysis
24, 52-106 (1977)
- 4
- Intertwining
differential operators for Mp(n,R)
and SU(n,n) , Trans. Amer. Math. Soc. 246, 311-337 (1978)
- 5
- Tensor products,
reproducing kernels, and
power series, J. Functional Analysis 31, 293-305 (1979)
- 6
- (with I. E. Segal, B. Speh, M. Vergne and B.
Ørsted) Symmetry and causality properties of physical fields,
Proc. Natl. Acad. Sci. U. S. A. 75 , 1609-1611 (1978)
- 7
- (with M. Vergne) Restrictions and expansions
of holomorphic representations, J. Functional analysis 34, 29-53
(1979)
- 8
- Higher order
tensor products of wave equations.
In Non-Commutative Harmonic Analysis, Proceedings, Marseille-Luminy
France; Lecture notes in mathematics 728, 97-115, Springer Verlag
(1979)
- 9
- (with M. Kon and I. E. Segal) Angular Momentum
of the cosmic background radiation, Phys. Rev. Letters 42,
1788-1791 (1979)
- 10
- On singular
holomorphic representations,
Invent. Math. 62, 67-78 (1980)
- 11
- (with S. Paneitz, I. E. Segal, B. Speh and B.
Ørsted) Covariant chronogeometry and extreme distances. II:
Elementary particles, Proc. Natl. Acad. Sci. U. S. A. 78,
5261-5265(1981)
- 12
- (with M. Harris) Singular holomorphic
representations
and singular modular forms, Math. Ann. 259, 227-244 (1983)
- 13
- The last possible place of unitarity for certain
highest weight modules, Math. Ann. 256, 439-447 (1981)
- 14
- Group theoretical aspects of the chronometric
theory. In Differential Geometric Methods in Mathematical Physics,
Proceedings, Clausthal 1980; Lecture Notes In Mathematics bf 905, 165-169,
Springer Verlag (1982)
- 15
- Hermitian
symmetric spaces and their unitary
highest weight modules , J. Functional Analysis 52, 385-412
(1983)
- 16
- (with M. Harris) Covariant differential
operators.
In Group Theoretical Methods In Theoretical Physics, Proceedings,
Istanbul 1982, 16-34. Lecture Notes in Physics 180, Springer Verlag
(1983)
- 17
- Basic covariant
differential operators on
hermitian symmetric spaces, Ann. scient. Èc. Norm. Sup.
18, 421-436 (1985)
- 18
- Subspace structures of holomorphic
representations.
In Sixteen research reports by the Niels Bohr fellows of the royal
Danish Academy of science and letters, 22-33 (1985)
- 19
- (with V. Kac) A new class of unitarizable
highest weight representations of infinite dimensional Lie algebras,
In: ``Springer Lecture Notes in Physics 226, 1-20 (1985)
- 20
- Conformal covariants, Publ. RIMS Kyoto
University 22, 345-364 (1986)
- 21
- A spin-off from highest weight representations;
conformal covariants, in particular for O(3, 2), In: ``Symposium on
conformal groups and structures, Proceedings, Clausthal 1985'', Lecture
Notes in Physics 261, 253-265 (1986)
- 22
- On the range of unitarity for highest weight
representations of classical Lie superalgebras., In: ``Symposium on
Topological and Geometrical Methods in Field Theory, Espoo, 1986'', 103-109,
World Scientific, Singapore
- 23
- Højeste-Vægt Moduler. Tensorprodukter,
Unitaritet, Differentialoperatorer. ``Doktorafhandling'' (Danish Doctoral
Dissertation), March 1988
- 24
- (with V. Kac) A new class of unitarizable
highest weight representations of infinite dimensional Lie algebras#2,
jour J. Functional analysis 82, 69-90 (1989)
- 25
- (with B. Durhuus and
R. Nest) Topological
quantum field theories from 6j-symbols, Rev. Math. Phys. l5,
1-67 (1993)
- 26
- (with B. Durhuus and R. Nest) A construction
of topological quantum field theories from 6j--symbols, Nucl. Physics
B (Proc. Suppl.) , 109--121 (1992)
- 27
- (with B. Durhuus and R. Nest) In: ``Topological and Geometrical
Methods in Field Theory, Turku (1992)'', 121--134, World Scientific, Singapore
- 28
- A classification of the unitarizable highest
weight modules for affine Lie superalgebras, J. Functional Analysis
123, 422--457 (1994)
- 29
- The Full Set
of Unitarizable Highest Weight
Modules of Basic Classical Lie Superalgebras , Memoirs of the A.M.S.
, Nr. 532, 116pp (1994)
- 30
- Bevægelsens
Geometri. In : Naturligvis. p. 30-33 (1994)
- 31
- Gauss-Bonnet In :
Famøs s- 9--17 (Side 9 sæningen" (1994)
- 32
- An intrinsic
classification of the unitarizable
highest weight modules as well as their associated varieties, Compositio
Math. 101, 313--352 (1996)
- 33
- Tensoring
with small quantized representations. J. Math. Phys. 38, 4323--4335
(1997)
- 34
- Quantized
hermitian symmetric spaces. In: ``Lie Theory and its Applications
in Physics'', 105-116, World Scientific, Singapore (1996)
- 35
- Differentialgeometri.
Forelængsnoter til Geometri 3GE; 147 pp. (1996)
- 36
- (with H. Zhang)
The center of the Quantized Matrix Algebra. J. Algebra 196,
458--474 (1997)
- 37
- (with H. Zhang)
The center of the Dipper Donkin quantized matrix algebra.
Beiträge Algebra Geom. 38, 411--421 (1997)
- 38
- (with A. Jensen, S. Jøndrup, and H. Zhang)
Quadratic algebras of type AIII. I II
III. Tsinghua Science and Technology 3, 1199--1202,
1203--1208, 1209--1212 (1998)
- 39
- Unitarity of
highest weight modules for quantum groups. Lett. Math. Phys. 42, 119--133 (1997)
- 40
- (with H. Zhang) Cyclic representations of
the quantum matrix algebras. Comm. Algebra 27, 493--510
(1999)
- 41
- (with H. Zhang) A
class of quadratic matrix
algebras arising from the quantized enveloping algebra.
J. Math. Phys. 41, 2310--2336 (2000)
- 42
- (with H. Zhang) Quantized Heisenberg
Space.
Algebras and Representation
Theory 3, 151--174 (2000).
- 43
- (with S. Jøndrup) Quantized Rank R Matrices.
J. Algebra 246, 70--96 (2001)
- 44
- Q-differential operators.
Preprint (19pp) 1999 ( http://xxx.lanl.gov/abs/math.QA/
9907009)
- 45
- Quantized Dirac operators.
Czech. J. Phys. 50, 1265--1270 (2000)
- 46
- (with C.-W. H. Lee)
Unitary Irreducible Representations of a Lie Algebra for Open Matrix
Chains. In " Theoretical high energy physics; MRST
2000". AIP Conference Proceedings 541, 130-139 (2000)
New York
- 47
- (with C.-W. H. Lee)
Unitary Irreducible Representations of a Lie Algebra for Matrix
Chain Models. J. Math. Phys. 42, 3817--3838 (2001)
- 48
-
Quantized symmetrizations and *-products. In "Quantum Groups
and Symmetries", Proceedings, Krakow, 2001, 396-403. World
Scientific, Singapore.
- 49
- (with C.-W. H. Lee)
Matrix Chain Models and Kac-Moody Algebras
"Vertex Operators and Kac-Moody algebras". Proceedings, Madras 2002,
Contemp. Math. 343, 147-165, A.M.S.
- 50
-
Matrix Chain Models and their $q$-deformations.
In Proceedings of 5th
International Workshop ``Lie Theory and Its Applications in
Physics'', 16 - 22 June 2003, Varna, Bulgaria. 377-391
- 51
- (with H. Zhang)
The Exponential Nature and Positivity
Algebr. Represent. Theor. 9, 267-284 (2006)
- 52
- Indecomposable finite-dimensional
representations of a class of Lie algebras and Lie superalgebras p.
125--138, In "Supersymmetry in Mathematics and Physics: UCLA Los Angeles, USA
2010". Ed. by Ferrara, Fioresi, and Varadarajan. Lecture Notes in Mathematics
2027, Sep. 2011
- 53
- (with H. Zhang)
Double-partition Quantum Cluster
Algebras J. Algebra 372, 172--203 (2012)
- 54
- (with C. Pagani)
Quantized Matrix Algebras and
Quantum Seeds Linear and Multilinear
Algebra 63 713--753 (2015)
- 55
-
The Center of $U_q(n_w)$ Comm. Alg. 46 262--282 (2018)
- 56
-
Double Quantum Schubert Cells and Quantum Mutations arXiv:1509.06137v1 [math.QA] (under revision)
- 57
-
Special Classes of Homomorphisms between generalized Verma modules for U_q(su(n,n)) (10 pp) 2019 J. Phys.: Conf. Ser. 1194 012055
- 58
-
Algebras of Variable Coefficient Quantized Differential Operators arXiv:1905.04478v1 [math.QA] (under revision)