The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type N 1
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The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type Widetilde A N 1
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Author : Nanhua Xi
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type Widetilde A N 1 written by Nanhua Xi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Representations Of Affine Hecke Algebras
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Author : Nanhua Xi
language : en
Publisher: Springer
Release Date : 2006-11-15
Representations Of Affine Hecke Algebras written by Nanhua Xi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Kazhdan 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
Representations Of Algebraic Groups Quantum Groups And Lie Algebras
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Author : Georgia Benkart
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Representations Of Algebraic Groups Quantum Groups And Lie Algebras written by Georgia Benkart and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Covers 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.
The Moduli Space Of N 1 Superspheres With Tubes And The Sewing Operation
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Author : Katrina Barron
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
The Moduli Space Of N 1 Superspheres With Tubes And The Sewing Operation written by Katrina Barron and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic $N = 1$ superconformal field theory, this book defines the moduli space of $N=1$ genus-zero super-Riemann surfaces with oriented and ordered half-infinite tubes, modulo superconformal equivalence.
The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type N 1
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Author : Nanhua Xi
language : en
Publisher: American Mathematical Soc.
Release Date : 2002-03-19
The Based Ring Of Two Sided Cells Of Affine Weyl Groups Of Type N 1 written by Nanhua Xi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-19 with Mathematics categories.
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
H Principles And Flexibility In Geometry
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Author : Hansjörg Geiges
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
H Principles And Flexibility In Geometry written by Hansjörg Geiges and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include (i) Hirsch-Smale immersion theory, (ii) Nash-Kuiper $C^1$-isometric immersion theory, (iii) existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications (i) and (iii).
Banach Embedding Properties Of Non Commutative L P Spaces
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Author : U. Haagerup
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Banach Embedding Properties Of Non Commutative L P Spaces written by U. Haagerup and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Let $\mathcal N$ and $\mathcal M$ be von Neumann algebras. It is proved that $L DEGREESp(\mathcal N)$ does not linearly topologically embed in $L DEGREESp(\mathcal M)$ for $\mathcal N$ infinite, $\mathcal M$ finit
Noncommutative Geometry And Number Theory
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Author : Caterina Consani
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-18
Noncommutative Geometry And Number Theory written by Caterina Consani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-18 with Mathematics categories.
In 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.
Derived Ell Adic Categories For Algebraic Stacks
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Author : Kai Behrend
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Derived Ell Adic Categories For Algebraic Stacks written by Kai Behrend and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This text is intended for graduate students and research mathematicians interested in algebraic geometry, category theory and homological algebra.
The Maximal Subgroups Of Positive Dimension In Exceptional Algebraic Groups
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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Maximal Subgroups Of Positive Dimension In Exceptional Algebraic Groups written by Martin W. Liebeck and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.