Some remarks on involutions in coxeter groups

DOI10.1080/00927878208822739zbMath0531.20016OpenAlexW1979910815MaRDI QIDQ3312406

T. A. Springer

Publication date: 1982

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878208822739

zbMATH Keywords

Weyl groupCoxeter groupsinvolutionsroot systemorthogonal roots

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other geometric groups, including crystallographic groups (20H15)

Related Items (22)

The even isomorphism theorem for Coxeter groups ⋮ On the coordinate ring of spherical conjugacy classes. ⋮ The size of Bruhat intervals between nested involutions in \(S_{n}\) ⋮ Groupes de Coxeter finis: involutions et cubes ⋮ Lengths of involutions in finite Coxeter groups ⋮ Commensurators of parabolic subgroups of Coxeter groups ⋮ Involution models of finite Coxeter groups ⋮ Hyperbolic geometry and moduli of real curves of genus three ⋮ Reflection subgroups of Coxeter systems ⋮ On tangent cones to Schubert varieties in type \(E\) ⋮ Automorphisms of Coxeter groups of rank three ⋮ Special involutions and bulky parabolic subgroups in finite Coxeter groups ⋮ On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case ⋮ Involution products in Coxeter groups ⋮ On the distinguished spectrum of \(\mathrm{Sp}_{2n}\) with respect to \(\mathrm{Sp}_n \times \mathrm{Sp}_n\) ⋮ On intersections of conjugacy classes and Bruhat cells. ⋮ Reflection subgroups of Coxeter groups ⋮ Rigidity of Coxeter groups ⋮ Moduli of real pointed quartic curves ⋮ On cones tangent to Schubert varieties of type $D_n$ ⋮ Invariants of a reduced decomposition. ⋮ Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections

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