[HTML][HTML] Geometric conditions for□-irreducibility of certain representations of the general linear group over a non-archimedean local field

E Lapid, A Mínguez - Advances in Mathematics, 2018 - Elsevier
Let π be an irreducible, complex, smooth representation of GL n over a local non-
archimedean (skew) field. Assuming π has regular Zelevinsky parameters, we give a …

On local character expansions for principal series representations of general linear groups

M Gurevich - arXiv preprint arXiv:2405.16872, 2024 - arxiv.org
We obtain two explicit formulas for the full local character expansion of any irreducible
representation of a p-adic general linear group in principal blocks. The first, generalizing …

On the Hecke-Algebraic Approach for General Linear Groups Over a p-Adic Field

M Gurevich - Interactions of Quantum Affine Algebras with Cluster …, 2020 - Springer
On the Hecke-Algebraic Approach for General Linear Groups Over a p-Adic Field | SpringerLink
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Technion summer projects 2020

M Gurevich - 2020 - cms-math.net.technion.ac.il
Smooth representations of the groups GLnpFq, where F is a p-field, are a rich source of
structure and symmetry, that appear in number theory on one hand and in quantum algebras …