A (-q)-analogue of weight multiplicities

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 o...

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Bibliographic Details
Main Authors: Lusztig, George, Yun, Zhiwei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: 2020
Online Access:https://hdl.handle.net/1721.1/124838

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