Hecke algebras

Hecke algebras

by Krieg, Aloys

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Title Statements

  • Full title :Hecke algebras / Aloys Krieg.

Edition Statements

  • Publication Date:©1990

Publication Statements

Notes

"September 1990, Volume 87, Number 435 (end of volume)"--Cover

The Physical Object

  • Description:1 online resource (173 pages)

Edition Identifiers

  • ISBN:9781470408589, 1470408589
  • oclc:ocn891385168
  • LC Classification:QA3
  • Dewey Decimal:512/.2

Table of Contents

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

""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)""

""4. The Primary Component H[sub(p)]""""5. An Embedding""; ""6. Congruence Subgroups""; ""7. The Hecke Al…

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Subjects

Algèbres de Hecke Hecke algebras

Writers

Krieg, Aloys

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