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Author: Nanhua Xi
Publisher: American Mathematical Soc.
Published: 2002
Total Pages: 114
ISBN-13: 0821828916
DOWNLOAD EBOOKIn this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Author: J Ritter
Publisher:
Published: 2014-09-11
Total Pages: 95
ISBN-13: 9781470403423
DOWNLOAD EBOOKAims to prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Author: Nanhua Xi
Publisher: American Mathematical Soc.
Published: 2002-03-19
Total Pages: 116
ISBN-13: 9780821864715
DOWNLOAD EBOOKIn this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Author: Nanhua Xi
Publisher:
Published: 2002
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Nanhua Xi
Publisher: Springer
Published: 2006-11-15
Total Pages: 147
ISBN-13: 3540486828
DOWNLOAD EBOOKKazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest
Author: Georgia Benkart
Publisher: American Mathematical Soc.
Published: 2006
Total Pages: 270
ISBN-13: 0821839241
DOWNLOAD EBOOKCovers various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie super algebras. This book outlines connections among irreducible representations of certain blocks of reduced enveloping algebras of semi-simple Lie algebras in positive characteristic.
Author: Caterina Consani
Publisher: Springer Science & Business Media
Published: 2007-12-18
Total Pages: 374
ISBN-13: 3834803529
DOWNLOAD EBOOKIn recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
Author: Markus Banagl
Publisher: American Mathematical Soc.
Published: 2002
Total Pages: 101
ISBN-13: 0821829882
DOWNLOAD EBOOKIntersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.
Author:
Publisher: American Mathematical Soc.
Published:
Total Pages: 146
ISBN-13: 0821834614
DOWNLOAD EBOOKAuthor: Edward L. Green
Publisher: American Mathematical Soc.
Published: 2002
Total Pages: 90
ISBN-13: 0821829343
DOWNLOAD EBOOKKoszul rings are graded rings which have played an important role in algebraic topology, noncommutative algebraic geometry and in the theory of quantum groups. One aspect of the theory is to compare the module theory for a Koszul ring and its Koszul dual. There are dualities between subcategories of graded modules; the Koszul modules.
