An inversion formula for induced Kazhdan-Lusztig polynomials and duality of \(W\)-graphs. (Q2505220)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inversion formula for induced Kazhdan-Lusztig polynomials and duality of \(W\)-graphs. |
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Statements
An inversion formula for induced Kazhdan-Lusztig polynomials and duality of \(W\)-graphs. (English)
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4 October 2006
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This paper contains two results. The first one is an inversion formula which relates the induced Kazhdan-Lusztig polynomials for a pair of dual, induced \(W\)-graphs; the second one is a duality result of induced \(W\)-graphs (i.e., duality commutes with induction). The Coxeter group \(W\) is assumed to be finite throughout this paper.
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Hecke algebras
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Kazhdan-Lusztig bases
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\(W\)-graphs
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finite Coxeter groups
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irreducible representations
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