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- W4380994090 abstract "We study the multiplicities of semisimple split characters in tensor product of semisimple split characters of $GL_n(mathbb{F}_q)$. We prove that these multiplicities are polynomial in q with non-negative integer coefficients and we obtain a criterion for their non-vanishing. We give moreover an interpretation of these polynomials in terms of the counting of the representations of star-shaped quivers, generalizing a previous result of Hausel, Letellier and Rodriguez-Villegas, who linked multiplicities for generic $k$-tuples of semisimple split characters and Kac polynomials." @default.
- W4380994090 created "2023-06-17" @default.
- W4380994090 creator A5011056671 @default.
- W4380994090 date "2023-06-15" @default.
- W4380994090 modified "2023-10-12" @default.
- W4380994090 title "A generalization of Kac polynomials and tensor product of representations of $GL_n(mathbb{F}_q)$" @default.
- W4380994090 doi "https://doi.org/10.48550/arxiv.2306.08950" @default.
- W4380994090 hasPublicationYear "2023" @default.
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