Iwahori-Hecke Algebras and their Representation Theory, Ivan Cherednik; Dan Barbasch; Yavor Markov; M. Wel

Автор: Maria Chlouveraki
Название: Blocks and Families for Cyclotomic Hecke Algebras
ISBN: 3642030637 ISBN-13(EAN): 9783642030635
Издательство: Springer
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Описание: This book contains a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Cli?ord theory. It can also serve as an introduction to the Hecke algebras of complex re?ection groups. Its aim is the study of the blocks and the determination of the families of characters of the cyclotomic Hecke algebras associated to complex re?ection groups. Iwouldliketothankmythesisadvisor, MichelBrou e, forhisadvice.These Springer Lecture Notes were, after all, his idea. I am grateful to Jean Michel for his help with the implementation and presentation of the programming part. I would like to thank Gunter Malle for his suggestion that I generalize my results on Hecke algebras, which led to the notion of "essential algebras". I also express my thanks to C edric Bonnaf e, Meinolf Geck, Nicolas Jacon, Rapha] el Rouquier and Jacques Th evenaz for their useful comments. Finally, I thank Thanos Tsouanas for copy-editing this manuscript. v Introduction The ?nite groups of matrices with coe?cients in Q generated by re?ections, known as Weyl groups, are a fundamental building block in the classi?cation of semisimple complex Lie algebras and Lie groups, as well as semisimple algebraic groups over arbitrary algebraically closed ?elds. They are also a foundation for many other signi?cant mathematical theories, including braid groups and Hecke algebras.

Автор: Anatolij N. Andrianov
Название: Quadratic Forms and Hecke Operators
ISBN: 3642703437 ISBN-13(EAN): 9783642703430
Издательство: Springer
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Описание: The numerous explicit formulae of the classical theory of quadratic forms revealed remarkable multiplicative properties of the numbers of integral representations of integers by positive definite integral quadratic forms.

Автор: Thomas Jansen; Steven Van Hecke
Название: At Europe`s Service
ISBN: 3642430694 ISBN-13(EAN): 9783642430695
Издательство: Springer
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Описание: This book tells the story of the European People`s Party: why it was founded, how it is currently organised and what its guiding ideas, values and principles are. It offers the reader an up-to-date account of the Party`s contribution to Europe.

Автор: Nanhua Xi
Название: Representations of Affine Hecke Algebras
ISBN: 3540583890 ISBN-13(EAN): 9783540583899
Издательство: Springer
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Описание: These lecture notes show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. The based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras.

Автор: Norbert Schappacher
Название: Periods of Hecke Characters
ISBN: 3540189157 ISBN-13(EAN): 9783540189152
Издательство: Springer
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Автор: Roy
Название: Elliptic and Modular Functions from Gauss to Dedekind to Hecke
ISBN: 1107159385 ISBN-13(EAN): 9781107159389
Издательство: Cambridge Academ
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Описание: Many mathematicians today believe mathematical works from past centuries are inaccessible, not useful, or both. This book demonstrates that past works are not only readable, but brimming with ideas and insights. It is aimed at graduate students or researchers working in modular functions, number theory, complex analysis, or special functions.

Автор: K. Schm?dgen
Название: Unbounded Operator Algebras and Representation Theory
ISBN: 3034874715 ISBN-13(EAN): 9783034874717
Издательство: Springer
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Описание: *-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded operators, occur in a natural way in unitary representation theory of Lie groups and in the Wightman formulation of quantum field theory.