Action of Hecke algebra on the double flag variety of type AIII

DOI10.1016/j.aam.2023.102614arXiv2206.10476OpenAlexW4387011161MaRDI QIDQ6144418

Lucas Fresse, Kyo Nishiyama

Publication date: 29 January 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10476

zbMATH Keywords

Weyl groupHecke algebraBorel subgroupinduced representationreductive algebraic groupdouble flag varietyparabolic subgroup

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

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• On the set of orbits for a Borel subgroup
• On orbits in double flag varieties for symmetric pairs
• On generalized Steinberg theory for type AIII
• Double flag varieties for a symmetric pair and finiteness of orbits
• A Generalization of Steinberg Theory and an Exotic Moment Map
• Orbit embedding for double flag varieties and Steinberg maps
• On the exotic Grassmannian and its nilpotent variety

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