Iwahori–Hecke model for supersingular representations of GL2(Qp)

Anandavardhanan, U.K. ; Borisagar, Gautam H. (2015) Iwahori–Hecke model for supersingular representations of GL2(Qp) Journal of Algebra, 423 . pp. 1-27. ISSN 0021-8693

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Official URL: http://doi.org/10.1016/j.jalgebra.2014.10.003

Related URL: http://dx.doi.org/10.1016/j.jalgebra.2014.10.003

Abstract

In this paper, we realize a regular supersingular representation π of GL2(Qp) as a quotient of a representation induced from the Iwahori subgroup of GL2(Qp). We also show that this realization provides a uniform way of looking at all the self-extensions of π which have a four dimensional space of I(1)-invariants.

Item Type:Article
Source:Copyright of this article belongs to Journal of Algebra.
Keywords:Mod p Representations of P-Adic Groups; Supersingular Representations; Self-Extensions Of Supersingular Representations
ID Code:135967
Deposited On:19 May 2025 07:56
Last Modified:19 May 2025 07:56

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