Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

DOI10.1007/s10688-012-0023-3zbMath1279.43011arXiv1106.1070OpenAlexW3103502602MaRDI QIDQ366074

R. S. Avdeev, N. E. Gorfinkel'

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1070

zbMATH Keywords

homogeneous spacespherical subgroupweight semigroup

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (5)

On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions ⋮ Spherical functions on spheres of rank two ⋮ Matrix elements of irreducible representations of \(\mathrm{GL} (n + 1) \times\mathrm{GL} (n + 1)\) and multivariable matrix-valued orthogonal polynomials ⋮ On extended weight monoids of spherical homogeneous spaces ⋮ Strongly solvable spherical subgroups and their combinatorial invariants

Cites Work

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• Homogeneous spaces and equivariant embeddings
• Weylgruppe und Momentabbildung. (Weyl group and moment map)
• Complexity and rank of homogeneous spaces
• Complexity and nilpotent orbits
• A new stability property of plethysm
• Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups
• On solvable spherical subgroups of semisimple algebraic groups

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