ARTICLES
On locally compact Quantum groups,
under preparationA generalization of Moyal quantization,
under preparation.Indecomposable representations of the conformal group,
To be submittedCohomological spaces for pseudo-unitary groups,
submitted, June 2005.The uncertainty principle in pseudo-Riemannian symmetric space,
submitted, August 2004.Composition series for analytic continuations of holomorphic
discrete series representations of SU(p,q),
Differential Geometry and Applications, 15 (2003), 221-252.
Zbl 1022.22012.Invariant eigendistributions on SU(p,q),
Journal of Geometry and Physics, 41 (2002), 13-56
(with Elizabeth Tanner).
Zbl 0990.22009.Irreducible Unitary representations of SU(p,q)-II: The continuous series,
International Journal of Mathematics, 12 (2001), 37-47
(with Elizabeth Tanner).Irreducible Unitary representations of SU(p,q)-I: The discrete series,
International Journal of Mathematics, 12 (2001), 1-36
(with Elizabeth Tanner).Topological star-algebras and modular functions,
preprint (2000), to be published
(with Elizabeth Tanner).Invariant measures on locally compact groups,
Pan American Mathematical Journal, 10 (2000), 1-18
(with Elizabeth Tanner).
Mathematical Reviews, (2001), 1 801 526Noncompact Lie groups, their algebras and some of their applications,
NATO Mathematical and Physical Sciences, 429C (1995), 1-54
(with Elizabeth Tanner).
Mathematical Reviews, 95h (1996), 4578; 95h:22021.Noncompact Lie Groups and Some of their Applications,
Proceedings of the NATO Advanced Research Workshop (1995)
(with Elizabeth Tanner).
Mathematical Reviews, 95f (1996), 3280; 95f:22004.Topological charge quantization via path integration: An application
of the Kustaanheimo-Stiefel transformation,
Foundations of Physics, 23 (1993), 969-984
(with Akira Inomata, Georg Junker).
Mathematical Reviews, 94h (1994), 4835; 94h:81084.Indecomposable representations of osp(2,1),
Symposia Matematica, 31 (1990), 243-255
Mathematical Reviews, 91d (1991), 1917; 91d:17042.Analytic group theotretical form factors of Hydrogen-like atoms for
discrete and continuum transitions,
Physical Reviews, A40 (1989), 1340-1350
(with Asim Barut).Algebraic scattering theory of relativistic composite particles,
Fortschr. der Physik, 37 (1989), 541-597
(with Asim Barut & Akira Inomata)
Mathematical Reviews, 91b (1991), 1145; 91b:81175.Algebraic treatment of second Poschl-Teller, Morse-Rosen, and Eckert
Equation,
Journal of Physics. A: Mathematics, 20 (1987), 4083-4096
(with Asim Barut & Akira Inomata)
Mathematical Reviews, 89e (1989), 2874; 89e:81015.A new realization of dynamical groups and factorization method,
Journal of Physics. A: Mathematics, 20 (1987), 4075-4082
(with Asim Barut & Akira Inomata).
Mathematical Reviews, 89e (1989), 2874; 89e:81014.The generalized Morse oscillator in the SO(4,2) dynamical group scheme,
Jounal of Mathematical Physics, 28 (1987), 605-611
(with Asim Barut & Akira Inomata).
Mathematical Reviews, 88e (1988), 2552; 88e:58108.Relativistic scattering of composite particles,
Symmetries in Science II (1986), 555-565.Factorization-Algebraization-Path integration and dynamical groups,
Symmetries in Science, II (1986), 255-263
(with Akira Inomata).
Mathematical Reviews, 92e (1992), 2867; 92e:81057.Path integral realization of a dynamical group,
Lecture Notes in Physics, 261 (1986), 42-47
(with Akira Inomata).
Mathematical Reviews, 88g (1988), 3826; 88g:81032.On the connection between Dyons, Vortices, and Aharonov-Bohm effect,
Annals of Physics, 164 (1985), 223-232
(with Asim Barut).
Mathematical Reviews, 87h (1987), 4582; 87h:81244.On the dynamical group of the Kepler problem in a curved space of
constant curvature,
Physics Letters, 110A (1985), 351-354
(with Asim Barut).
Mathematical Reviews, 86k (1986), 5328, 86k:81166.On the infinite dimensional Lie algebras and Dynkin diagrams,
University of Georgia preprint, 1984.A unified description of the representation of the graded Lie
Algebra gsl(2),
Journal of Mathematical Physics, 25 (1984), 1253-1261
(with Bruno Gruber).
Mathematical Reviews, 85k (1985), 4813, 85k:17020.Path integral treatment of the Morse oscillator,
Physics Letters, 96A (1983), 117-120
(with Akira Inomata).
Mathematical Reviews, 85g (1985), 3159; 85g:81058.Ladder operators of group matrix elements,
Journal Mathematical Physics, 20 (1979), 2380-2390
(with Christoph Schneider).
Mathematical Reviews, 81f (1981), 2157; 81f:22040.Inelastic form factors of a composite dynamical system,
Univetsity of Munich preprint, 1980.Quantum theory of infinite component fields,
Journal of Mathematical Physics, 20 (1979), 2244-2256
(with Asim Barut & Christoph Schneider).
Mathematical Reviews, 81a (1981), 322; 81a:81034.Kl(3) form factors,
Physical Reviews, D19 (1979), 260-267
(with Asim Barut).Some new identitites of Clebsch-Gordan coefficients and representation
functions of SO(2,1) and SO(4),
Journal of Mathematical Physics, 17 (1976), 900-915
(with Asim Barut).
Mathematical Reviews, 53 (1977), 2099; 53 \#15123.Clebsch-Gordan coefficients, Racah coefficients, and Hypergeometric functions,
Dublin Institute for Advanced Studies preprint, 1977.Infinite component fields-II: Electromagnetic structure of bosons,
Physical Reviews, D13 (1976), 2647-2655
(with Asim Barut).Infinite component fields-I: Electromagnetic inelastic form factors
and structure functions of the proton,
Physical Reviews, D13 (1976), 2629-2646
(with Asim Barut).Inelastic transition form factors in the Hydrogen atom,
Physical Reviews, A13 (1976), 918-926
(with Asim Barut).Deep Inelastic Scattering of Proton in an Infinite Component Field Theory,
Thesis, Stevens Institute of Technology, 1972.Unitary symmetries in particle theory,
SCC Annual Review, (1966), 10-25.A generalized Dirac current in O(4,2) theory,
Nuclear Physics, B68 (1974), 157-176.
Mathematical Reviews, 51 (1976), 1046; 7508.Proton structure functions in an infinite resonance O(4,2) model,
Annals of Physics, 81 (1973), 15-48
(with Ronald Peierls).BOOKS
Noncompact Lie Groups and Some of their Applications,
Proceedings of the NATO Advanced Research Workshop
(with Elizabeth Tanner)
Mathematical Reviews, 95f, 3280; 95f:22004.
ISBN 0-7923-2787-X
Kluwer Academic Publishers, Dordrecht, Holland, 1995.Geometric Algebra,
under preparation.JOURNALS
Dynamical Groups,
Five special issues of Foundations of Physics
(with Akira Inomata & van der Merwe).
FNDPA 23(2--6), 173--970pp
ISSN 0015-9018
Plenum Press, New York, 1993.LECTURE NOTES
Lecture Notes in Modern Algebra - MAT 3233.
Lecture Notes in Number Theory - MAT 4253.
Lecture Notes in Algebra - MAT 5173 & MAT 5313.
Lecture Notes in General Topology - MAT 5243 & MAT 5253.
Lecture Notes in Differential Geometry – MAT 6973.
Lecture Notes in Differentiable Manifolds – MAT 6973
Lecture Notes in Operator Theory – MAT 6973
Lecture Notes in Geometrical Mechanics – MAT 6973
Lecture Notes in Galois Theory – MAT 6953