Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 joint summer research conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / [electronic resource]
Murray Gerstenhaber, Jim Stasheff, editors.
- Providence, R.I. : American Mathematical Society, c1992.
- 1 online resource (viii, 377 p. : ill.)
- Contemporary mathematics, v. 134 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 134. .
"The AMS-IMS-SIAM 1990 Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics was held June 14-20, 1990 at the University of Massachusetts, Amherst, Massachusetts"--T.p. verso.
Includes bibliographical references.
Hopf algebra actions -- revisited / Link-diagrams, Yang-Baxter equations and quantum holonomy / Duality and topology of $3$-manifolds / Algebras, bialgebras, quantum groups, and algebraic deformations / Generalized Moyal quantization on homogeneous symplectic spaces / A simple construction of bialgebra deformations / Integrable deformations of meromorphic equations on $^1$ / Quantum groups with two parameters / Quantum group-theoretic proof of the addition formula for continuous $q$-Legendre polynomials / $q$-special functions, a tutorial / $q$-special functions and their occurrence in quantum groups / Quantum flag and Schubert schemes / Homological perturbation theory, Hochschild homology, and formal groups / Tannaka-Kre�in theorem for quasi-Hopf algebras and other results / Simple Smash Products / Quantum group of links in a handlebody / Quantum Poisson $(2)$ and quantum Poisson spheres / Deformation cohomology for bialgebras and quasi-bialgebras / Drinfeld's quasi-Hopf algebras and beyond / Hopf algebra techniques applied to the quantum group $U_q((2))$ / Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories / Elementary paradigms of quantum algebras / Miriam Cohen -- Paolo Cotta-Ramusino and Maurizio Rinaldi -- Louis Crane -- Murray Gerstenhaber and Samuel D. Schack -- Jos�e M. Gracia-Bond�ia -- Robert Grossman and David Radford -- G. F. Helminck -- N. H. Jing -- H. T. Koelink -- H. T. Koelink and T. H. Koornwinder -- T. H. Koornwinder -- V. Lakshmibai and N. Reshetikhin -- Larry A. Lambe -- Shahn Majid -- Susan Montgomery -- J�ozef H. Przytycki -- Albert Jeu-Liang Sheu -- Steven Shnider -- Jim Stasheff -- Mitsuhiro Takeuchi -- David N. Yetter -- Cosmas Zachos -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187276 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187277 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187278 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187279 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187280 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187281 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187282 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187283 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187284 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187285 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187286 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187287 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187288 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187289 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/15 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187291 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187292 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187293 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187294 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187295 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187296 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187297
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877258 (online)
Quantum groups--Congresses.
Perturbation (Mathematics)--Congresses.
Mathematical physics--Congresses.
QC20.7.G76 / A63 1990
530.1/522
"The AMS-IMS-SIAM 1990 Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics was held June 14-20, 1990 at the University of Massachusetts, Amherst, Massachusetts"--T.p. verso.
Includes bibliographical references.
Hopf algebra actions -- revisited / Link-diagrams, Yang-Baxter equations and quantum holonomy / Duality and topology of $3$-manifolds / Algebras, bialgebras, quantum groups, and algebraic deformations / Generalized Moyal quantization on homogeneous symplectic spaces / A simple construction of bialgebra deformations / Integrable deformations of meromorphic equations on $^1$ / Quantum groups with two parameters / Quantum group-theoretic proof of the addition formula for continuous $q$-Legendre polynomials / $q$-special functions, a tutorial / $q$-special functions and their occurrence in quantum groups / Quantum flag and Schubert schemes / Homological perturbation theory, Hochschild homology, and formal groups / Tannaka-Kre�in theorem for quasi-Hopf algebras and other results / Simple Smash Products / Quantum group of links in a handlebody / Quantum Poisson $(2)$ and quantum Poisson spheres / Deformation cohomology for bialgebras and quasi-bialgebras / Drinfeld's quasi-Hopf algebras and beyond / Hopf algebra techniques applied to the quantum group $U_q((2))$ / Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories / Elementary paradigms of quantum algebras / Miriam Cohen -- Paolo Cotta-Ramusino and Maurizio Rinaldi -- Louis Crane -- Murray Gerstenhaber and Samuel D. Schack -- Jos�e M. Gracia-Bond�ia -- Robert Grossman and David Radford -- G. F. Helminck -- N. H. Jing -- H. T. Koelink -- H. T. Koelink and T. H. Koornwinder -- T. H. Koornwinder -- V. Lakshmibai and N. Reshetikhin -- Larry A. Lambe -- Shahn Majid -- Susan Montgomery -- J�ozef H. Przytycki -- Albert Jeu-Liang Sheu -- Steven Shnider -- Jim Stasheff -- Mitsuhiro Takeuchi -- David N. Yetter -- Cosmas Zachos -- http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187276 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187277 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187278 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187279 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187280 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187281 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187282 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187283 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187284 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187285 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187286 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187287 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187288 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187289 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/15 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187291 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187292 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187293 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187294 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187295 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187296 http://www.ams.org/conm/134/ http://dx.doi.org/10.1090/conm/134/1187297
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877258 (online)
Quantum groups--Congresses.
Perturbation (Mathematics)--Congresses.
Mathematical physics--Congresses.
QC20.7.G76 / A63 1990
530.1/522