Weylgruppe und Momentabbildung

“…We start with results of F. Knop,[Kn1], [Kn3], [Kn4], [Kn7]. Then we quote results of [Lo2] that provide certain reductions for computing Weyl groups.…”

Section: Ivan V Losevmentioning

confidence: 99%

Computation of Weyl groups of 𝐺-varieties

Losev

2010

Represent. Theory

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Abstract. Let G be a connected reductive group. To any irreducible Gvariety one assigns a certain linear group generated by reflections called the Weyl group. Weyl groups play an important role in the study of embeddings of homogeneous spaces. We establish algorithms for computing Weyl groups for homogeneous spaces and affine homogeneous vector bundles. For some special classes of G-varieties (affine homogeneous vector bundles of maximal rank, affine homogeneous spaces, homogeneous spaces of maximal rank with a discrete group of central automorphisms) we compute Weyl groups more or less explicitly.

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“…Popov [26] (see [9] for the results in arbitrary characteristic). Various aspects are also touched on in [6], [28], [14]. The above filtration (and deformation) appeals only to the internal structure of the action in question.…”

Section: U Define K[z]^ (Resp A;[z](mentioning

confidence: 99%

“…Obviously, any horospherical subgroup is spherical. To any G/H (actually, to any G-variety), one can attach in a natural way the conjugacy class of a horospherical subgroup H [14], Section 2. (This is also implicit in [20].)…”

Section: 4mentioning

confidence: 99%

On deformation method in invariant theory

Panyushev¹

1997

Annales De L’institut Fourier

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Weylgruppe und Momentabbildung

Cited by 103 publications

References 18 publications

Algebraic Hamiltonian actions

Algebraic Hamiltonian actions

Computation of Weyl groups of 𝐺-varieties

On deformation method in invariant theory

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