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*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.
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*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.
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*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
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*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)