The Resource Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990, P.P. Kulish (ed.)
Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990, P.P. Kulish (ed.)
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The item Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990, P.P. Kulish (ed.) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990, P.P. Kulish (ed.) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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, qspecial 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 More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot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, qspecial 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 GSpaces and Heisenberg Algebra.J. Stasheff: Differential Graded Lie Algebras, QuasiHopf Algebras and Higher Homotopy Algebras. A. Yu. Alekseev, L.D. Faddeev, M.A. SemenovTianShansky: Hidden Quantum Groups inside KacMoody Algebras. J.L. Gervais: Quantum Group Symmetry of 2D Gravity. T. Kohno: Invariants of 3Manifolds Based on Conformal Field Theory and Heegaard Splitting. O. Viro: Moves of Triangulations of a PLManifold. Publisher description
 Language
 eng
 Extent
 xii, 398 pages
 Note
 "Subseries: LOMI and Euler International Mathematical Institute, St. Petersburg"Ser. t.p
 Contents

 I. Quantum Groups, Deformation Theory and Representation Theory. 1. On some unsolved problems in quantum group theory  2. Quantum symmetry  3. YangBaxter equation and deformation of associative and Lie algebras  4. Quantum Gspaces and Heisenberg algebra  5. Real and imaginary forms of quantum groups  6. Rank of quantum groups and braided groups in dual form  7. Yangians of the "strange" lie superalgebras  8. Askeywilson polynomials as spherical functions on SU q(2)  9. Twisted yangians and infinitedimensional classical Lie algebras  10. Differential graded Lie algebras, quasihopf algebras and higher homotopy algebras  11. Quantum deformation of the flag variety  12. Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials  II. Quantum Groups, Symmetries of Dynamical Systems and Conformal Field Theory. 1. Hidden quantum groups inside KacMoody algebras  2. Liouville theory on the lattice and universal exchange algebra for bloch waves  3. Nonlocal currents in 2D QFT: An alternative to the quantum inverse scattering method  4. Induced representations and tensor operators for quantum groups  5. Affine toda field theory: Smatrix vs perturbation  6. Contractions of quantum groups  7. New solutions of YangBaxter equations and quantum group structures  8. Quantum group symmetry of 2D gravity  9. Extended chiral conformal theories with a quantum symmetry  10. Fusion rsos models and rational coset models  11. Integrable timediscrete systems: Lattices and mappings  12. On relations between poisson groups and quantum groups  III. Quantum Groups, Lowdimensional Topology and Link Invariants. 1. Characters of Hecke and BirmanWenzl algebras  2. Invariants of 3Manifolds based on conformal field theory and Heegaard splitting  3. The multivariable alexander polynomial and a one
 parameter family of representations of U q (sl(2,C)) at q 2=?1  4. Preparation theorems for isotopy invariants of links in 3manifolds  5. Quantum invariants of 3manifold and a glimpse of shadow topology  6. Moves of triangulations of a PLmanifold  7. YangBaxter relation, exactly solvable models and link polynomials  IV. Open Problems in Quantum Group Theory. 1. Triangularity of transition matrices for generalized HallLittlewood polynomials  2. An open problem in quantum groups  3. Two problems in quantized algebras of functions  4. Unsolved problems  5. On classification of Zgraded Lie algebras of constant growth which have algebra C[h] as Cartan subalgebra
 Isbn
 9783540553052
 Label
 Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990
 Title
 Quantum groups
 Title remainder
 proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990
 Statement of responsibility
 P.P. Kulish (ed.)
 Language
 eng
 Summary
 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, qspecial 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, qspecial 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 GSpaces and Heisenberg Algebra.J. Stasheff: Differential Graded Lie Algebras, QuasiHopf Algebras and Higher Homotopy Algebras. A. Yu. Alekseev, L.D. Faddeev, M.A. SemenovTianShansky: Hidden Quantum Groups inside KacMoody Algebras. J.L. Gervais: Quantum Group Symmetry of 2D Gravity. T. Kohno: Invariants of 3Manifolds Based on Conformal Field Theory and Heegaard Splitting. O. Viro: Moves of Triangulations of a PLManifold. Publisher description
 Cataloging source
 DLC
 Dewey number

 500 s
 530.1/43
 Illustrations
 illustrations
 Index
 no index present
 LC call number

 QA3
 QC20.7.G76
 LC item number
 .L28 no. 1510
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1944
 http://library.link/vocab/relatedWorkOrContributorName
 Kulish, P. P.
 Series statement
 Lecture notes in mathematics
 Series volume
 1510
 http://library.link/vocab/subjectName

 Quantum groups
 Quantum field theory
 Conformal invariants
 Topology
 Mathematical physics
 Groepentheorie
 Kwantummechanica
 Kwantumveldentheorie
 Label
 Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990, P.P. Kulish (ed.)
 Note
 "Subseries: LOMI and Euler International Mathematical Institute, St. Petersburg"Ser. t.p
 Bibliography note
 Includes bibliographical references
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Quantum Groups, Deformation Theory and Representation Theory. 1. On some unsolved problems in quantum group theory  2. Quantum symmetry  3. YangBaxter equation and deformation of associative and Lie algebras  4. Quantum Gspaces and Heisenberg algebra  5. Real and imaginary forms of quantum groups  6. Rank of quantum groups and braided groups in dual form  7. Yangians of the "strange" lie superalgebras  8. Askeywilson polynomials as spherical functions on SU q(2)  9. Twisted yangians and infinitedimensional classical Lie algebras  10. Differential graded Lie algebras, quasihopf algebras and higher homotopy algebras  11. Quantum deformation of the flag variety  12. Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials  II. Quantum Groups, Symmetries of Dynamical Systems and Conformal Field Theory. 1. Hidden quantum groups inside KacMoody algebras  2. Liouville theory on the lattice and universal exchange algebra for bloch waves  3. Nonlocal currents in 2D QFT: An alternative to the quantum inverse scattering method  4. Induced representations and tensor operators for quantum groups  5. Affine toda field theory: Smatrix vs perturbation  6. Contractions of quantum groups  7. New solutions of YangBaxter equations and quantum group structures  8. Quantum group symmetry of 2D gravity  9. Extended chiral conformal theories with a quantum symmetry  10. Fusion rsos models and rational coset models  11. Integrable timediscrete systems: Lattices and mappings  12. On relations between poisson groups and quantum groups  III. Quantum Groups, Lowdimensional Topology and Link Invariants. 1. Characters of Hecke and BirmanWenzl algebras  2. Invariants of 3Manifolds based on conformal field theory and Heegaard splitting  3. The multivariable alexander polynomial and a one  parameter family of representations of U q (sl(2,C)) at q 2=?1  4. Preparation theorems for isotopy invariants of links in 3manifolds  5. Quantum invariants of 3manifold and a glimpse of shadow topology  6. Moves of triangulations of a PLmanifold  7. YangBaxter relation, exactly solvable models and link polynomials  IV. Open Problems in Quantum Group Theory. 1. Triangularity of transition matrices for generalized HallLittlewood polynomials  2. An open problem in quantum groups  3. Two problems in quantized algebras of functions  4. Unsolved problems  5. On classification of Zgraded Lie algebras of constant growth which have algebra C[h] as Cartan subalgebra
 Control code
 25411314
 Dimensions
 25 cm
 Extent
 xii, 398 pages
 Isbn
 9783540553052
 Isbn Type
 (Berlin : acidfree paper)
 Lccn
 92005289
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)25411314
 Label
 Quantum groups : proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990, P.P. Kulish (ed.)
 Note
 "Subseries: LOMI and Euler International Mathematical Institute, St. Petersburg"Ser. t.p
 Bibliography note
 Includes bibliographical references
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Quantum Groups, Deformation Theory and Representation Theory. 1. On some unsolved problems in quantum group theory  2. Quantum symmetry  3. YangBaxter equation and deformation of associative and Lie algebras  4. Quantum Gspaces and Heisenberg algebra  5. Real and imaginary forms of quantum groups  6. Rank of quantum groups and braided groups in dual form  7. Yangians of the "strange" lie superalgebras  8. Askeywilson polynomials as spherical functions on SU q(2)  9. Twisted yangians and infinitedimensional classical Lie algebras  10. Differential graded Lie algebras, quasihopf algebras and higher homotopy algebras  11. Quantum deformation of the flag variety  12. Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials  II. Quantum Groups, Symmetries of Dynamical Systems and Conformal Field Theory. 1. Hidden quantum groups inside KacMoody algebras  2. Liouville theory on the lattice and universal exchange algebra for bloch waves  3. Nonlocal currents in 2D QFT: An alternative to the quantum inverse scattering method  4. Induced representations and tensor operators for quantum groups  5. Affine toda field theory: Smatrix vs perturbation  6. Contractions of quantum groups  7. New solutions of YangBaxter equations and quantum group structures  8. Quantum group symmetry of 2D gravity  9. Extended chiral conformal theories with a quantum symmetry  10. Fusion rsos models and rational coset models  11. Integrable timediscrete systems: Lattices and mappings  12. On relations between poisson groups and quantum groups  III. Quantum Groups, Lowdimensional Topology and Link Invariants. 1. Characters of Hecke and BirmanWenzl algebras  2. Invariants of 3Manifolds based on conformal field theory and Heegaard splitting  3. The multivariable alexander polynomial and a one  parameter family of representations of U q (sl(2,C)) at q 2=?1  4. Preparation theorems for isotopy invariants of links in 3manifolds  5. Quantum invariants of 3manifold and a glimpse of shadow topology  6. Moves of triangulations of a PLmanifold  7. YangBaxter relation, exactly solvable models and link polynomials  IV. Open Problems in Quantum Group Theory. 1. Triangularity of transition matrices for generalized HallLittlewood polynomials  2. An open problem in quantum groups  3. Two problems in quantized algebras of functions  4. Unsolved problems  5. On classification of Zgraded Lie algebras of constant growth which have algebra C[h] as Cartan subalgebra
 Control code
 25411314
 Dimensions
 25 cm
 Extent
 xii, 398 pages
 Isbn
 9783540553052
 Isbn Type
 (Berlin : acidfree paper)
 Lccn
 92005289
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)25411314
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