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Hecke algebras /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Krieg, Aloys, 1955- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island, United States : American Mathematical Society, 1990.
Colección:Memoirs of the American Mathematical Society ; Volume 87, no. 435.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Krieg, Aloys,  |d 1955-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJB493w88h4RXDf8Dt9dQq 
245 1 0 |a Hecke algebras /  |c Aloys Krieg. 
264 1 |a Providence, Rhode Island, United States :  |b American Mathematical Society,  |c 1990. 
264 4 |c ©1990 
300 |a 1 online resource (173 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v Volume 87, Number 435 
500 |a "September 1990, Volume 87, Number 435 (end of volume)"--Cover 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a Table of Contents -- Introduction -- Chapter I: The Abstract Hecke Algebra -- 1. The Group Algebra -- 2. Formal Linear Combinations of Right and Double Cosets -- 3. Hecke Pairs -- 4. The Product -- 5. The Symmetric Group as an Example -- 6. Isomorphisms of Hecke Algebras -- 7. Anti-Homomorphisms -- 8. The Canonical Bilinear Form -- Remarks -- Chapter II: Structure Theory of Hecke Algebras for Finite Groups -- 1. Maschke's Theorem for Hecke Algebras -- 2. The Use of Group Algebras -- 3. Hecke Algebras of Small Dimension 
505 8 |a ""4. Quadratic Residues and Non-Residues""""5. The Canonical Involution on the Hecke Algebra""; ""Remarks""; ""Chapter III: Examples of Hecke Algebras for Finite Groups""; ""1. The Dihedral Group""; ""2. The Integral Orthogonal Group""; ""3. The Symmetric Group""; ""4. A Borel Subgroup of the General Linear Group over a Finite Field""; ""5. A Maximal Parabolic Subgroup""; ""Remarks""; ""Chapter IV: The Hecke Algebra Associated with SL(2; Z)""; ""1. Right Coset Decompositions""; ""2. Double Coset Decompositions""; ""3. The Hecke Algebra Associated with (Î?,M)"" 
505 8 |a ""4. The Primary Component H[sub(p)]""""5. An Embedding""; ""6. Congruence Subgroups""; ""7. The Hecke Algebra Associated with Î?[sub(0)](q)""; ""Remarks""; ""Chapter V: The Hecke Algebra Associated with the Unimodular Group""; ""1. The Unimodular Group""; ""2. The Elementary Divisor Theorem""; ""3. Elementary Divisors""; ""4. q-Kernels""; ""5. Right Coset Decompositions""; ""6. The Hecke Algebra Associated with (u[sub(n)],Inv(n; Z))""; ""7. Particular Double Cosets in the Primary Component""; ""8. The Primary Component""; ""9. Formal Power Series""; ""10. The Hecke Algebra over Q"" 
505 8 |a ""11. An Embedding""""Remarks""; ""Chapter VI: The Hecke Algebra Associated with the Slegel Modular Group""; ""1. Symplectic Similitudes""; ""2. The Symplectic Elementary Divisor Theorem""; ""3. Right Coset Decompositions""; ""4. The Hecke Algebra Associated with (Î?[sub(n)],Î?[sub(n)])""; ""5. Particular Double Cosets in the Primary Component""; ""6. The Primary Component""; ""7. The Commutation Relation with the Siegel Î?-Operator""; ""8. A Rationality Theorem for n = 2""; ""Remarks""; ""References"" 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Hecke algebras. 
650 6 |a Algèbres de Hecke. 
650 7 |a Hecke algebras  |2 fast 
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776 0 8 |i Print version:  |a Krieg, Aloys, 1955-  |t Hecke algebras.  |d Providence, Rhode Island, United States : American Mathematical Society, ©1990  |h 158 pages  |k Memoirs of the American Mathematical Society ; Volume 87, Number 435  |x 0065-9266  |z 9780821824979 
830 0 |a Memoirs of the American Mathematical Society ;  |v Volume 87, no. 435. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113972  |z Texto completo 
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