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|a 1259166916
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|z 9780821824979
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|a (OCoLC)891385168
|z (OCoLC)1259166916
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|a QA3
|b .K754 1990eb
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|a 512/.2
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|a UAMI
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|a Krieg, Aloys,
|d 1955-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJB493w88h4RXDf8Dt9dQq
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|a Hecke algebras /
|c Aloys Krieg.
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|a Providence, Rhode Island, United States :
|b American Mathematical Society,
|c 1990.
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|c ©1990
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|a 1 online resource (173 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v Volume 87, Number 435
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|a "September 1990, Volume 87, Number 435 (end of volume)"--Cover
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|a Includes bibliographical references.
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|a Print version record.
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|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
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|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)""
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|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""
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|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""
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|a English.
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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|a Hecke algebras.
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|a Algèbres de Hecke.
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|a Hecke algebras
|2 fast
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|i has work:
|a Hecke algebras (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGFqJDHyFxdyVjp74X98fm
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|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
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|a Memoirs of the American Mathematical Society ;
|v Volume 87, no. 435.
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113972
|z Texto completo
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