Rings of regular functions on nilpotent orbits and their covers

DOI10.1007/BF01850661zbMath0648.22004OpenAlexW2002342100MaRDI QIDQ1105053

William M. McGovern

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143699

zbMATH Keywords

Lie algebraHarish-Chandra bimodulescomplex semisimple algebraic groupmultiplicity formulasring of regular functions

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Lie algebras of Lie groups (22E60) General properties and structure of complex Lie groups (22E10)

Related Items

On the equivariant 𝐾-theory of the nilpotent cone ⋮ Unnamed Item ⋮ Regular Functions on the 𝐾-nilpotent cone ⋮ On the left and right Brylinski-Kostant filtrations ⋮ Quantization of special symplectic nilpotent orbits and normality of their closures ⋮ Calculating Canonical Distinguished Involutions in the Affine Weyl Groups ⋮ On the coordinate ring of spherical conjugacy classes. ⋮ Irreducible Local Systems on Nilpotent Orbits ⋮ Rings of regular functions on nilpotent orbits 11:model algebras and orbits ⋮ Unnamed Item ⋮ The size of infinite-dimensional representations ⋮ Quantizations of Regular Functions on Nilpotent Orbits ⋮ Quiver theories and formulae for nilpotent orbits of exceptional algebras ⋮ Normality of nilpotent varieties in \(E_{6}\). ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the singularities of nilpotent orbits ⋮ A transitivity result for ad-nilpotent ideals in type \(A\) ⋮ Functions on the universal cover of the principal nilpotent orbit ⋮ Some calculations of the Lusztig-Vogan bijection for classical nilpotent orbits ⋮ Unnamed Item ⋮ Regular functions of symplectic spherical nilpotent orbits and their quantizations ⋮ Unnamed Item ⋮ On quantization of a nilpotent orbit closure in $G_2$

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