000 03194nam a22005415i 4500
001 978-0-8176-8274-3
003 DE-He213
005 20251006084440.0
007 cr nn 008mamaa
008 111018s2012 xxu| s |||| 0|eng d
020 _a9780817682743
020 _a99780817682743
024 7 _a10.1007/978-0-8176-8274-3
_2doi
082 0 4 _a512.55
_223
082 0 4 _a512.482
_223
100 1 _aJoseph, Anthony.
_eeditor.
245 1 0 _aHighlights in Lie Algebraic Methods
_h[electronic resource] /
_cedited by Anthony Joseph, Anna Melnikov, Ivan Penkov.
250 _a1.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2012.
300 _aXV, 227p. 4 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics ;
_v295
505 0 _aPreface -- Part I: The Courses -- 1 Spherical Varieties -- 2 Consequences of the Littelmann Path Model for the Structure of the Kashiwara B(∞) Crystal -- 3 Structure and Representation Theory of Kac-Moody Superalgebras -- 4 Categories of Harish-Chandra Modules -- 5 Generalized Harish-Chandra Modules -- Part II: The Papers -- 6 B-Orbits of 2-Nilpotent Matrices.- 7 The Weyl Denominator Identity for Finite-Dimensional Lie Superalgebras -- 8 Hopf Algebras and Frobenius Algebras in Finite Tensor Categories -- 9 Mutation Classes of 3 x 3 Generalized Cartan Matrices -- 10 Contractions and Polynomial Lie Algebras.
520 _aAn outgrowth of a two-week summer session at Jacobs University in Bremen, Germany in August 2009 ("Structures in Lie Theory, Crystals, Derived Functors, Harish-Chandra Modules, Invariants and Quivers"), this volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac-Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac-Moody superalgebras, categories of Harish-Chandra modules, cohomological methods, and cluster algebras.  List of Contributors:  M. Boos M. Brion J. Fuchs M. Gorelik A. Joseph M. Reineke C. Schweigert V. Serganova A. Seven W. Soergel B. Wilson G. Zuckerman
650 0 _aMATHEMATICS.
650 0 _aALGEBRA.
650 0 _aMATRIX THEORY.
650 0 _aTOPOLOGICAL GROUPS.
650 1 4 _aMATHEMATICS.
650 2 4 _aTOPOLOGICAL GROUPS, LIE GROUPS.
650 2 4 _aCATEGORY THEORY, HOMOLOGICAL ALGEBRA.
650 2 4 _aGENERAL ALGEBRAIC SYSTEMS.
650 2 4 _aALGEBRA.
650 2 4 _aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
700 1 _aMelnikov, Anna.
_eeditor.
700 1 _aPenkov, Ivan.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817682736
830 0 _aProgress in Mathematics ;
_v295
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8274-3
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59869
_d59869