Algorithms for Computations in Local Symmetric Spaces

DOI10.1080/00927870801940434zbMath1149.53033OpenAlexW1974658707MaRDI QIDQ3514812

Jennifer Renee Daniel, Aloysius G. Helminck

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870801940434

zbMATH Keywords

symmetric spacescomputer algebraMapleMagmaLie algebras of linear algebraic groupsChevieGAP4LiE

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Lie algebras of linear algebraic groups (17B45)

Related Items (2)

Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a computational approach ⋮ Computing the fine structure of real reductive symmetric spaces

Uses Software

• Maple
• LiE
• CHEVIE

Cites Work

• Unnamed Item
• Elliptic genera, involutions, and homogeneous spin manifolds
• 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
• Discrete series for semisimple symmetric spaces
• 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
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• 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
• Orbits, invariants, and representations associated to involutions of reductive groups
• Computing \(B\)-orbits on \(G/H\)
• On rationality properties of involutions of reductive groups
• Computing the fine structure of real reductive symmetric spaces
• Algorithms for computing characters for symmetric spaces
• Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties

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