On the center of a Hecke algebra. (Q2474482)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the center of a Hecke algebra. |
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On the center of a Hecke algebra. (English)
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6 March 2008
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This one-page paper contains only one theorem. It proves that the quotient of the center of the \(\mathbb{Z} G\)-endomorphism algebra of a transitive \(G\)-set \(X\) modulo the image of the center of the finite group ring \(\mathbb{Z} G\) is of finite order, and the order is equal to the product of the elementary divisors of the reduced class-coset table of the endomorphism algebra.
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finite groups
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transitive \(G\)-sets
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Hecke algebras
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centers
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endomorphism algebras
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group rings
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