000 03611nam a22005293i 4500
001 EBC3113186
003 MiAaPQ
005 20240729124535.0
006 m o d |
007 cr cnu||||||||
008 240724s2005 xx o ||||0 eng d
020 _a9780821879825
_q(electronic bk.)
020 _z9780821837016
035 _a(MiAaPQ)EBC3113186
035 _a(Au-PeEL)EBL3113186
035 _a(CaPaEBR)ebr10878641
035 _a(OCoLC)922980730
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA176 -- .I58 2004eb
082 0 _a512
100 1 _aBerman, Stephen.
245 1 0 _aInfinite-Dimensional Aspects of Representation Theory and Applications.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c2005.
264 4 _c©2004.
300 _a1 online resource (168 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aContemporary Mathematics ;
_vv.392
505 0 _aIntro -- Contents -- Modular representation theory of Hecke algebras, a survey -- An application of free Lie algebras to polynomial current algebras and their representation theory -- Canonical basic sets for Hecke algebras -- On Universal Central Extensions of sln(A) -- Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras -- Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants -- On Demazure crystals for Uq(D(3)4) -- Populations of solutions of the X X X Bethe equations associated to Kac-Moody algebras -- Representations of rational Cherednik algebras -- 1. Introduction -- 2. A motivation via Dunkl operators -- 2.1. Dimension 1 -- 2.2. Dimension n -- 3. Structure -- 3.1. The rational Cherednik algebra -- 3.2. The spherical subalgebra -- 4. Representation theory at t ≠ 0 -- 4.1. Category O -- 4.2. Dunkl operators and KZ functor -- 4.3. Primitive ideals and supports -- 4.4. Harish-Chandra bimodules -- 5. Representation theory at t = 0 -- 5.1. General representations -- 5.2. 0-fiber -- 6. Type A -- 6.1. Structure -- 6.2. Category o -- 6.3. Shift functors -- 6.4. Hilbert schemes -- 7. Type A1 -- 7.1. Presentation -- 7.2. Category 0 and KZ -- 7.3. Spherical subalgebra -- 7.4. Double affine Hecke algebra -- 8. Generalizations -- 8.1. Complex and symplectic reflection groups -- 8.2. Characteristic p &gt -- 0 -- 9. Table of analogies -- References -- A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aRepresentations of algebras -- Congresses.
650 0 _aRepresentations of groups -- Congresses.
650 0 _aGeometry, Algebraic -- Congresses.
650 0 _aAlgebra, Homological -- Congresses.
650 0 _aQuantum groups -- Congresses.
655 4 _aElectronic books.
700 1 _aParshall, Brian.
700 1 _aScott, Leonard.
700 1 _aWang, Weiqiang.
776 0 8 _iPrint version:
_aBerman, Stephen
_tInfinite-Dimensional Aspects of Representation Theory and Applications
_dProvidence : American Mathematical Society,c2005
_z9780821837016
797 2 _aProQuest (Firm)
830 0 _aContemporary Mathematics
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113186
_zClick to View
999 _c68720
_d68720