Dual pairs in the Pin-group and duality for the corresponding spinorial representation

DOI10.1007/s10468-020-10007-9OpenAlexW3102350386MaRDI QIDQ2058372

Yanyan Li

Publication date: 8 December 2021

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09093

zbMATH Keywords

dualitydual pairsPin groupspinorial representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dual pairs in \(Pin(p,q)\) and Howe correspondences for the spin representation
• Classification and partial ordering of reductive Howe dual pairs of classical Lie groups
• Clifford modules
• Transcending Classical Invariant Theory
• Symmetry, Representations, and Invariants
• Remarks on Classical Invariant Theory
• Clifford Algebras and Lie Theory
• Lie groups beyond an introduction