Quantum Groups : Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990. 1st ed. 1992

種類:

電子ブック

責任表示:

edited by Petr P. Kulish

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992

著者名:

• Kulish, Petr P.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1510

ISBN:

9783540470205 [3540470204]    

注記:

On some unsolved problems in quantum group theory -- Quantum symmetry -- Yang-Baxter equation and deformation of associative and Lie algebras -- Quantum G-spaces and Heisenberg algebra -- Real and imaginary forms of quantum groups -- Rank of quantum groups and braided groups in dual form -- Yangians of the “strange” lie superalgebras -- Askey-wilson polynomials as spherical functions on SU q(2) -- Twisted yangians and infinite-dimensional classical Lie algebras -- Differential graded Lie algebras, quasi-hopf algebras and higher homotopy algebras -- Quantum deformation of the flag variety -- Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials -- Hidden quantum groups inside Kac-Moody algebras -- Liouville theory on the lattice and universal exchange algebra for bloch waves -- Non-local currents in 2D QFT: An alternative to the quantum inverse scattering method -- Induced representations and tensor operators for quantum groups -- Affine toda field theory: S-matrix vs pert
The theory of Quantum Groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, e.g. in link and knot invariants in topology, q-special functions, conformal field theory, quantum integrable models. The aim of the Euler Institute's workshops was to review and compile the progress achieved in the different subfields. Near 100 participants came from 14 countries. More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot invariants, q-special functions). FROM THE CONTENTS: V.G. Drinfeld: On Some Unsolved Problems in Quantum Group Theory.- M. Gerstenhaber, A. Giaquinto, S.D. Schack: Quantum Symmetry.- L.I. Korogodsky,L.L. Vaksman: Quantum G-Spaces and Heisenberg Algebra.-J. Stasheff: Differential Graded Lie Algebras, Quasi-Hopf Algebras and Higher Homotopy Algebras.- A.Yu. Alekseev, L.D. Faddeev, M.A.

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