dorsal/arxiv
View SchemaHecke algebras, $U_qsl_n$, and the Donald--Flanigan conjecture for $S_n$
| Authors | Murray Gerstenhaber, Mary E. Schaps |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9502016 |
| URL | https://arxiv.org/abs/q-alg/9502016 |
Abstract
To each partition $\frak p$ of $n$ we associate in a canonical way a simple $S_n$ module with an orthogonal basis indexed by Young diagrams in a way which carries over immediately to the quantized case. With this we show that the Hecke algebra of $S_n$ is a global solution to the Donald--Flanigan problem for $S_n.$ The procedure gives ``canonical'' primitive idempotents different from the classical ones of Frobenius--Young and makes some number--theoretic statements.
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"abstract": "To each partition $\\frak p$ of $n$ we associate in a canonical way a simple\n$S_n$ module with an orthogonal basis indexed by Young diagrams in a way which\ncarries over immediately to the quantized case. With this we show that the\nHecke algebra of $S_n$ is a global solution to the Donald--Flanigan problem for\n$S_n.$ The procedure gives ``canonical\u0027\u0027 primitive idempotents different from\nthe classical ones of Frobenius--Young and makes some number--theoretic\nstatements.",
"arxiv_id": "q-alg/9502016",
"authors": [
"Murray Gerstenhaber",
"Mary E. Schaps"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Hecke algebras, $U_qsl_n$, and the Donald--Flanigan conjecture for $S_n$",
"url": "https://arxiv.org/abs/q-alg/9502016"
},
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