Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224231 | Advances in Mathematics | 2018 | 78 Pages |
Abstract
Let Ï be an irreducible, complex, smooth representation of GLn over a local non-archimedean (skew) field. Assuming Ï has regular Zelevinsky parameters, we give a geometric necessary and sufficient criterion for the irreducibility of the parabolic induction of ÏâÏ to GL2n. The latter irreducibility property is the p-adic analogue of a special case of the notion of “real representations” introduced by Leclerc and studied recently by Kang-Kashiwara-Kim-Oh (in the context of KLR or quantum affine algebras). Our criterion is in terms of singularities of Schubert varieties of type A and admits a simple combinatorial description. It is also equivalent to a condition studied by Geiss-Leclerc-Schröer.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Erez Lapid, Alberto MÃnguez,