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Quantum Groups (Record no. 11473)

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000 -LEADER
fixed length control field	05870nam a22005535i 4500
001 - CONTROL NUMBER
control field	978-3-540-47020-5
003 - CONTROL NUMBER IDENTIFIER
control field	DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20190213151652.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	121227s1992 gw \| s \|\|\|\| 0\|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9783540470205
--	978-3-540-47020-5
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code	10.1007/BFb0101174
Source of number or code	doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA1-939
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PB
Source	bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code	MAT000000
Source	bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PB
Source	thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	510
Edition number	23
245 10 - TITLE STATEMENT
Title	Quantum Groups
Medium	[electronic resource] :
Remainder of title	Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990 /
Statement of responsibility, etc	edited by Petr P. Kulish.
264 #1 -
--	Berlin, Heidelberg :
--	Springer Berlin Heidelberg :
--	Imprint: Springer,
--	1992.
300 ## - PHYSICAL DESCRIPTION
Extent	XII, 408 p.
Other physical details	online resource.
336 ## -
--	text
--	txt
--	rdacontent
337 ## -
--	computer
--	c
--	rdamedia
338 ## -
--	online resource
--	cr
--	rdacarrier
347 ## -
--	text file
--	PDF
--	rda
490 1# - SERIES STATEMENT
Series statement	Lecture Notes in Mathematics,
International Standard Serial Number	0075-8434 ;
Volume number/sequential designation	1510
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	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 perturbation -- Contractions of quantum groups -- New solutions of Yang-Baxter equations and quantum group structures -- Quantum group symmetry of 2D gravity -- Extended chiral conformal theories with a quantum symmetry -- Fusion rsos models and rational coset models -- Integrable time-discrete systems: Lattices and mappings -- On relations between poisson groups and quantum groups -- Characters of Hecke and Birman-Wenzl algebras -- Invariants of 3-Manifolds based on conformal field theory and Heegaard splitting -- The multi-variable alexander polynomial and a one—parameter family of representations of U q (sl(2,C)) at q 2=?1 -- Preparation theorems for isotopy invariants of links in 3-manifolds -- Quantum invariants of 3-manifold and a glimpse of shadow topology -- Moves of triangulations of a PL-manifold -- Yang-Baxter relation, exactly solvable models and link polynomials -- Triangularity of transition matrices for generalized Hall-Littlewood polynomials -- An open problem in quantum groups -- Two problems in quantized algebras of functions -- Unsolved problems -- On classification of ?-graded Lie algebras of constant growth which have algebra ?[h] as Cartan subalgebra.
520 ## - SUMMARY, ETC.
Summary, etc	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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Quantum theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Topological Groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Topology.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematics, general.
--	http://scigraph.springernature.com/things/product-market-codes/M00009
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Elementary Particles, Quantum Field Theory.
--	http://scigraph.springernature.com/things/product-market-codes/P23029
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Topological Groups, Lie Groups.
--	http://scigraph.springernature.com/things/product-market-codes/M11132
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Topology.
--	http://scigraph.springernature.com/things/product-market-codes/M28000
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Quantum Information Technology, Spintronics.
--	http://scigraph.springernature.com/things/product-market-codes/P31070
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Quantum Physics.
--	http://scigraph.springernature.com/things/product-market-codes/P19080
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Kulish, Petr P.
Relator term	editor.
Relator code	edt
--	http://id.loc.gov/vocabulary/relators/edt
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element	SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title	Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Printed edition:
International Standard Book Number	9783662171516
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Printed edition:
International Standard Book Number	9783540553052
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title	Lecture Notes in Mathematics,
--	0075-8434 ;
Volume number/sequential designation	1510
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	https://doi.org/10.1007/BFb0101174
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--	ZDB-2-BAE

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