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- Title
HECKE MODULES AND SUPERSINGULAR REPRESENTATIONS OF U(2,1).
- Authors
KOZIOL, KAROL; PENG XU
- Abstract
Let F be a nonarchimedean local field of odd residual characteristic p. We classify finite-dimensional simple right modules for the pro-p-Iwahori-Hecke algebra HC(G,I(1)), where G is the unramified unitary group U(2, 1)(E/F) in three variables. Using this description when C = Fp, we define supersingular Hecke modules and show that the functor of I(1)-invariants induces a bijection between irreducible nonsupersingular mod-p representations of G and nonsupersingular simple right HC(G, I(1))-modules. We then use an argument of Paskunas to construct supersingular representations of G.
- Subjects
HECKE algebras; MODULES (Algebra); REPRESENTATION theory; P-adic groups; MATHEMATICAL variables
- Publication
Representation Theory, 2015, Vol 19, Issue 5, p56
- ISSN
1088-4165
- Publication type
Article
- DOI
10.1090/S1088-4165-2015-00462-5