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001			EBC3113972
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005			20240729124556.0
006			m o d |
007			cr cnu||||||||
008			240724s1990 xx o ||||0 eng d
020			_a9781470408589 _q(electronic bk.)
020			_z9780821824979
035			_a(MiAaPQ)EBC3113972
035			_a(Au-PeEL)EBL3113972
035			_a(CaPaEBR)ebr10918925
035			_a(OCoLC)891385168
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .K754 1990eb
082	0		_a512/.2
100	1		_aKrieg, Aloys.
245	1	0	_aHecke Algebras.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1990.
264		4	_c©1990.
300			_a1 online resource (173 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.87
505	0		_aIntro -- 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 (Γ,M) -- 4. The Primary Component H[sub(p)] -- 5. An Embedding -- 6. Congruence Subgroups -- 7. The Hecke Algebra Associated with Γ[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 -- 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.
505	8		_a4. The Hecke Algebra Associated with (Γ[sub(n)],Δ[sub(n)]) -- 5. Particular Double Cosets in the Primary Component -- 6. The Primary Component -- 7. The Commutation Relation with the Siegel Φ-Operator -- 8. A Rationality Theorem for n = 2 -- Remarks -- References.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aHecke algebras.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aKrieg, Aloys _tHecke Algebras _dProvidence : American Mathematical Society,c1990 _z9780821824979
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113972 _zClick to View
999			_c69503 _d69503