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)
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(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)
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(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)
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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)
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(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
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(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)
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(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)
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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] Submitted.
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Special Classes of Homomorphisms between generalized Verma modules for U_q(su(n,n)) (10 pp) 2019 J. Phys.: Conf. Ser. 1194 012055
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Algebras of Variable Coefficient Quantized Differential Operators arXiv:1905.04478v1 [math.QA]