Quantum Groups: Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990: 1510 (Lecture Notes in Mathematics, 1510) - Softcover

 
9783540553052: Quantum Groups: Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990: 1510 (Lecture Notes in Mathematics, 1510)

Synopsis

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 More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot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. Semenov-Tian-Shansky: Hidden Quantum Groups inside Kac-Moody Algebras.- J.-L. Gervais: Quantum Group Symmetry of 2D Gravity.- T. Kohno: Invariants of 3-Manifolds Based on Conformal Field Theory and Heegaard Splitting.- O. Viro: Moves of Triangulations of a PL-Manifold.

"synopsis" may belong to another edition of this title.

Synopsis

The theory of quantum groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, for example in link and knot invariants in topology, q-special functions and conformal field theory. This text reviews developments in these, and other subfields.

"About this title" may belong to another edition of this title.

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9780387553054: Quantum Groups: Proceedings of Workshops Held in the Euler International Mathematical Institute, Leningrad, Fall 1990 (Lecture Notes in Mathematics)

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ISBN 10:  0387553053 ISBN 13:  9780387553054
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