Action of \(w_0\) on \(V^L\) for orthogonal and exceptional groups

DOI10.1007/978-981-19-4751-3_24arXiv2201.09742OpenAlexW4318445569MaRDI QIDQ6193520

Ilia Smilga

Publication date: 16 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09742

zbMATH Keywords

Weyl grouphighest weightbranching rulesLevi subgroup

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30)

Cites Work

• Margulis spacetimes via the arc complex
• The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant
• Three-dimensional affine crystallographic groups
• On fundamental groups of complete affinely flat manifolds
• On the Zariski closure of the linear part of a properly discontinuous group of affine transformations
• Action of Weyl group on zero-weight space
• Representations having vectors fixed by a Levi subgroup associated to a real form
• Proper affine actions: a sufficient criterion
• Construction of Milnorian representations
• The structure of complete locally affine manifolds
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