Simply laced Coxeter groups and groups generated by symplectic transvections
From MaRDI portal
Publication:5954576
DOI10.1307/mmj/1030132732zbMath0998.20038arXivmath/9906203OpenAlexW2045846319MaRDI QIDQ5954576
A. D. Vaĭnshteĭn, Andrei V. Zelevinsky, Michael Shapiro, Boris Zalmanovich Shapiro
Publication date: 4 February 2002
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9906203
numbers of orbitsreduced wordsdouble Bruhat cellssimply laced Coxeter groupssymplectic transvections
Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Linear algebraic groups over adèles and other rings and schemes (20G35)
Related Items
The number of connected components in double Bruhat cells for nonsimply-laced groups, Polyhedral parametrizations of canonical bases \& cluster duality, Orbits of groups generated by transvections over \(\mathbb{F}_2\)., Cluster algebras. III: Upper bounds and double Bruhat cells., Cluster algebras I: Foundations, Cluster algebras and Weil-Petersson forms, The quantum dilogarithm and representations of quantum cluster varieties, In memoriam: Andrei Zelevinsky (1953--2013)
