Generalized orbital varieties for Mirkovic-Vybornov slices as affinizations of Mirkovic-Vilonen cycles

Autor:	Dranowski, Anne
Rok vydání:	2019
Předmět:	Mathematics - Representation Theory
Druh dokumentu:	Working Paper
DOI:	10.1007/s00031-020-09587-z
Popis:	We show that generalized orbital varieties for Mirkovic-Vybornov slices can be indexed by semi-standard Young tableaux. We also check that the Mirkovic-Vybornov isomorphism sends generalized orbital varieties to (dense subsets of) Mirkovic-Vilonen cycles, such that the (combinatorial) Lusztig datum of a generalized orbital variety, which it inherits from its tableau, is equal to the (geometric) Lusztig datum of its MV cycle.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.08174 Zobrazit plný text záznamu View this record from Arxiv