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arXiv · 1611.06502

On a q-Identity Arising from the Dimension of a Representation of GL(n) over a Finite Field

Ofir Gorodetsky·Zahi Hazan
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Abstract

The present paper proves a $q$-identity, which arises from a representation $π_{N,ψ}$ of $\text{GL}_n(\mathbb{F}_q)$. This identity gives a significant simplification for the dimension of $π_{N,ψ}$, which allowed the second author to obtain a description of the representation.

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Ofir Gorodetsky, Zahi Hazan. 2016-11-20. On a q-Identity Arising from the Dimension of a Representation of GL(n) over a Finite Field. https://arxiv.org/abs/1611.06502

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