Archita Gupta

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20232026

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math.RT2026

Real characters and real classes of $GL_{2}$ and $GU_{2}$ over discrete valuation rings

Archita Gupta, Tejbir Lohan, Pooja Singla

Let $o$ be the ring of integers of a non-archimedean local field with residue field of odd characteristic, $p$ be its maximal ideal and let $\mathfrak{o}_\ell…

math.RT2025

On tensor products of regular characters of the general linear and unitary groups of degree two over the principal ideal local rings of finite length

Archita Gupta, M Hassain, Pooja Singla

Let $R$ be a principal ideal local ring of finite length with a finite residue field of odd characteristic. Let $G (R)$ denote either the general linear group or the general unitary…

math.RT2024

On Gelfand pairs and degenerate Gelfand-Graev modules of General Linear groups of degree two over principal ideal local rings of finite length

Archita Gupta, Pooja Singla

Let $R$ be a principal ideal local ring of finite length with a finite residue field of odd characteristic. Denote by $G (R)$ the general linear group of degree two over $R$ , and by…

math.RT2023

Tensor product of irreducible characters of $GL_{2} (F_{q})$

Archita Gupta, M Hassain

We decompose the tensor product of two irreducible representations of $GL_{2} (F_{q})$ for odd $q$ and classify the pairs such that their tensor product is multiplicit…

Real characters and real classes of GL2​ and GU2​ over discrete valuation rings

On tensor products of regular characters of the general linear and unitary groups of degree two over the principal ideal local rings of finite length

On Gelfand pairs and degenerate Gelfand-Graev modules of General Linear groups of degree two over principal ideal local rings of finite length

Tensor product of irreducible characters of GL2​(Fq​)

Real characters and real classes of $GL_{2}$ and $GU_{2}$ over discrete valuation rings

Tensor product of irreducible characters of $GL_{2} (F_{q})$