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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2023 Volume 57, Issue 2, Pages 31–40 (Mi faa4046)
Diagram automorphism fixed Lie algebras and diagram automorphism fixed quiver varieties

Zh. Dongab, H. Maab

a Institute for Advanced Study in Mathematics of HIT
b College of mathematics science, Harbin Engineering University

Abstract: We define certain subvarieties, called $\theta$-Hecke correspondences, in Cartesian products of diagram automorphism fixed quiver varieties. These give us generators of diagram automorphism fixed Lie algebras.

Keywords: diagram automorphism, quiver variety, Hecke correspondence.

Received: 23.08.2022
Revised: 28.11.2022
Accepted: 05.12.2022

DOI: 10.4213/faa4046


 English version: Functional Analysis and Its Applications, 2023, 57:2, 109–116

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© Steklov Math. Inst. of RAS, 2024