The number of connected components in double Bruhat cells for nonsimply-laced groups

DOI10.1090/S0002-9939-02-06604-2zbMath1014.20016arXivmath/0104036MaRDI QIDQ4780410

Michael Shapiro, A. D. Vaĭnshteĭn, Michael I. Gekhtman

Publication date: 19 November 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104036

zbMATH Keywords

Weyl groupsdouble Bruhat cellsCoxeter graphsnumbers of connected componentsgroups generated by transvectionssimply connected semisimple algebraic groups

Mathematics Subject Classification ID

Related Items (1)

Orbits of groups generated by transvections over \(\mathbb{F}_2\).

Cites Work

• Parametrizations of canonical bases and totally positive matrices
• Double Bruhat cells and total positivity
• The intersection of opposed big cells in real flag varieties
• Simply laced Coxeter groups and groups generated by symplectic transvections
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