Work

Unequal-parameter Kostka--Foulkes polynomials of type $C_n$ at fundamental weights

Year: 2026

Type: preprint

Abstract: We establish an explicit formula for the Kostka--Foulkes polynomial of type $C_n$ with unequal parameters at fundamental weights. As an application, we deduce an explicit Lusztig--Kato formula for the Hecke algebra of the special (but not hyperspecial) maximal compact subgroup of a quasi-split but non-split special orthogonal group over a $p$-adic field.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.39095

Author: Corato-Zanarella, Murilo

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7215084954

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