A binary operation on irreducible components of Lusztig's nilpotent varieties {II}: applications and conjectures for representations of $GL_n$ over a non-archimedean local field

Autor:	Lapid, Erez, Minguez, Alberto
Rok vydání:	2021
Předmět:	Mathematics - Representation Theory Mathematics - Number Theory Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	In the first part of the paper we defined and studied a binary operation on the set of irreducible components of Lusztig's nilpotent varieties of a quiver. For type $A$ we conjecture, following Geiss and Schr\"oer, that this operation is compatible with taking the socle of parabolic induction of representations of general linear groups over a local non-archimedean field, at least when one of the irreducible components is rigid. We verify this conjecture in special cases. Comment: final version. arXiv admin note: substantial text overlap with arXiv:2103.12027
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.05162 Zobrazit plný text záznamu View this record from Arxiv