Open AccessQuasi-split symmetric pairs of π(π°π©_{π«}) and Steinberg varieties of classical type
Author(s) -
Yiqiang Li
Publication year - 2021
Publication title -
representation theory
Language(s) - English
Resource type - Journals
ISSN - 1088-4165
DOI - 10.1090/ert/570
Subject(s) - type (biology) , idempotence , algorithm , annotation , mathematics , artificial intelligence , computer science , combinatorics , geology , paleontology
We provide a Lagrangian construction for the fixed-point subalgebra, together with its idempotent form, in a quasi-split symmetric pair of type A n β 1 A_{n-1} . This is obtained inside the limit of a projective system of Borel-Moore homologies of the Steinberg varieties of n n -step isotropic flag varieties. Arising from the construction are a basis of homological origin for the idempotent form and a geometric realization of rational modules.