Unicellular LLT polynomials are closely related to the chromatic quasi-symmetric functions of incomparability graphs of unit interval orders via a plethystic substitution. Coefficients arising in various expansions of these chromatic quasi-symmetric functions are known to be evaluations of Hecke algebra traces of Kazhdan–Lusztig elements. We view coefficients of the same expansions of unicellular LLT polynomials as evaluations of different plethystically defined traces at Kazhdan–Lusztig basis elements, and express these in terms of traditional trace bases. We also describe these new traces in terms of induction and Kazhdan–Lusztig R-polynomials. Based on joint work with Mark Skandera and Alejandro Morales.
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15
mars
Vendredi
Jiayuan Wang (Lehigh University): LLT polynomials and Hecke algebra traces
15 mars 2024, 11:00
- 15 mars 2024, 12:00
Détails
Date :
mars 15
Heure :
11:00 am - 12:00 pm
Lieu
Venue Name:
PK-4323