Extended symmetric spaces and θ-twisted involution graphs

DOI10.1080/00927872.2019.1711106zbMath1441.05242OpenAlexW4230185264MaRDI QIDQ5112755

Matthew Welz, Silvia Saccon, Kristine Pelatt, Jessie Lenarz, Ruth Haas, J. B. Collins, Aloysius G. Helminck

Publication date: 8 June 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1711106

zbMATH Keywords

symmetric spacesalgebraic combinatorics

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Unnamed Item
• Unnamed Item
• On generalized Cartan subspaces
• Tori invariant under an involutorial automorphism. I
• Real double coset spaces and their invariants
• The Bruhat order on symmetric varieties
• A conjugacy theorem for symmetric spaces
• Tori invariant under an involutorial automorphism. II
• On the classification of \(k\)-involutions
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• Orbits and invariants associated with a pair of commuting involutions
• Spherical distribution vectors
• Computing \(B\)-orbits on \(G/H\)
• On rationality properties of involutions of reductive groups
• Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\)
• Algorithms for Twisted Involutions in Weyl Groups
• Admissible Sequences for Twisted Involutions in Weyl Groups
• A class of parabolic $k$-subgroups associated with symmetric $k$-varieties
• On Orbit Closures of Symmetric Subgroups in Flag Varieties
• Smoothness of Quotients Associated With a Pair of Commuting Involutions
• Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties

This page was built for publication: Extended symmetric spaces and θ-twisted involution graphs