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000944019 019__ $$a1198557791$$a1201562477
000944019 020__ $$a9783030524630
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000944019 0247_ $$a10.1007/978-3-030-52
000944019 035__ $$aSP(OCoLC)on1197837773
000944019 035__ $$aSP(OCoLC)1197837773$$z(OCoLC)1198557791$$z(OCoLC)1201562477
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000944019 049__ $$aISEA
000944019 08214 $$a512.2
000944019 24500 $$aComplex Semisimple Quantum Groups and Representation Theory /$$cby Christian Voigt, Robert Yuncken.
000944019 250__ $$a1st ed. 2020.
000944019 264_1 $$aCham :$$bSpringer International Publishing,$$c2020 ;$$bImprint Springer.
000944019 300__ $$a1 online resource (x, 376 pages) :$$billustrations.
000944019 336__ $$atext$$btxt$$2rdacontent
000944019 337__ $$acomputer$$bc$$2rdamedia
000944019 338__ $$aonline resource$$bcr$$2rdacarrier
000944019 4901_ $$aLecture Notes in Mathematics,$$x0075-8434 ;$$v2264
000944019 506__ $$aAccess limited to authorized users.
000944019 520__ $$aThis book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.
000944019 650_0 $$aGroup theory.
000944019 650_0 $$aFunctional analysis.
000944019 650_0 $$aTopological groups.
000944019 650_0 $$aLie groups.
000944019 650_0 $$aAssociative rings.
000944019 650_0 $$aRings (Algebra)
000944019 650_0 $$aHarmonic analysis.
000944019 77608 $$iPrint version: $$z3030524620$$z9783030524623$$w(OCoLC)1156993618
000944019 830_0 $$aLecture Notes in Mathematics,$$x0075-8434 ;$$v2264.
000944019 852__ $$bebk
000944019 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=https://dx.doi.org/10.1007/978-3-030-52463-0$$zOnline Access
000944019 909CO $$ooai:library.usi.edu:944019$$pGLOBAL_SET
000944019 980__ $$aEBOOK
000944019 980__ $$aBIB
000944019 982__ $$aEbook
000944019 983__ $$aOnline
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