dorsal/arxiv
View SchemaIdempotents of Hecke algebras of type A
| Authors | A. K. Aiston, H. R. Morton |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702017 |
| URL | https://arxiv.org/abs/q-alg/9702017 |
| Journal | J. Knot Theory Ramif. 7 (1998), 463-487 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We use a skein-theoretic version of the Hecke algebras of type A to present three-dimensional diagrammatic views of Gyoja's idempotent elements, based closely on the corresponding Young diagram. In this context we give straightforward calculations for the eigenvalues of two natural central elements in the Hecke algebras, namely the full curl and the sum of the Murphy operators. We discuss their calculation also in terms of the framing factor associated to the appropriate irreducible representation of the quantum group SU(N,q).
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"abstract": "We use a skein-theoretic version of the Hecke algebras of type A to present\nthree-dimensional diagrammatic views of Gyoja\u0027s idempotent elements, based\nclosely on the corresponding Young diagram. In this context we give\nstraightforward calculations for the eigenvalues of two natural central\nelements in the Hecke algebras, namely the full curl and the sum of the Murphy\noperators. We discuss their calculation also in terms of the framing factor\nassociated to the appropriate irreducible representation of the quantum group\nSU(N,q).",
"arxiv_id": "q-alg/9702017",
"authors": [
"A. K. Aiston",
"H. R. Morton"
],
"categories": [
"q-alg",
"math.GT",
"math.QA"
],
"journal_ref": "J. Knot Theory Ramif. 7 (1998), 463-487",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Idempotents of Hecke algebras of type A",
"url": "https://arxiv.org/abs/q-alg/9702017"
},
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