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|a Lusztig, George
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Yun, Zhiwei
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|a A (-q)-analogue of weight multiplicities
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|c 2020-04-23T17:31:38Z.
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|z Get fulltext
|u https://hdl.handle.net/1721.1/124838
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|a We prove a conjecture in [L11] stating that certain polynomials P-Y(sigma),(w)(q) introduced in [LV11] for twisted involutions in an affine Weyl group give ( -q)-analogues of weight multiplicities of the Langlands dual group G. We also prove that the signature of a naturally defined hermitian form on each irreducible representation of e can be expressed in terms of these polynomials P-Y(sigma),(w)(q).
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|a National Science Foundation (U.S.) (Grant DMS-0758262)
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|a National Science Foundation (U.S.) (Grant DMS-0969470)
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|a Article
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|t Journal of the Ramanujan Mathematical Society
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