Algorithms for Twisted Involutions in Weyl Groups

DOI10.1142/S100538671200017XzbMath1254.20033WikidataQ57431630 ScholiaQ57431630MaRDI QIDQ2883147

Ruth Haas, Aloysius G. Helminck

Publication date: 11 May 2012

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

Full work available at URL: http://worldscinet.com/ac/19/1902/S100538671200017X.html

zbMATH Keywords

conjugacy classessymbolic computationroot systemsfinite Coxeter systemstwisted involutionscomplexity of algorithmsBruhat posets

Mathematics Subject Classification ID

Partial orders, general (06A06) Symbolic computation and algebraic computation (68W30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (2)

On Orbit Decompositions for Symmetric k-Varieties ⋮ Extended symmetric spaces and θ-twisted involution graphs

Cites Work

• Unnamed Item
• Irreducible characters of semisimple Lie groups. IV: Character - multiplicity duality
• Singularities of closures of K-orbits on flag manifolds
• Plancherel formula for reductive symmetric spaces
• Eigenspaces of invariant differential operators on an affine symmetric space
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• On a remarkable class of subvarieties of a symmetric variety
• The most continuous part of the Plancherel decomposition for a reductive symmetric space
• \(H\)-fixed distribution vectors for generalized principal series of reductive symmetric spaces and meromorphic continuation of Eisenstein integrals
• Geometric realization of discrete series for semisimple symmetric spaces
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Computing \(B\)-orbits on \(G/H\)
• On rationality properties of involutions of reductive groups
• Algorithms for computing characters for symmetric spaces
• Counting involutory, unimodal, and alternating signed permutations
• Admissible Sequences for Twisted Involutions in Weyl Groups
• The Structure of Semisimple Symmetric Spaces
• Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties

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