Regular functions of symplectic spherical nilpotent orbits and their quantizations

DOI10.1090/ert/474zbMath1397.22012arXiv1511.04800OpenAlexW2963645924MaRDI QIDQ2792392

Kayue Daniel Wong

Publication date: 9 March 2016

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04800

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (3)

Quantization of special symplectic nilpotent orbits and normality of their closures ⋮ Some calculations of the Lusztig-Vogan bijection for classical nilpotent orbits ⋮ On quantization of a nilpotent orbit closure in $G_2$

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The unitary dual for complex classical Lie groups
• On the coordinate ring of spherical conjugacy classes.
• Unipotent representations of complex semisimple groups
• Rings of regular functions on nilpotent orbits and their covers
• On the Segal-Shale-Weil representations and harmonic polynomials
• Notes on unipotent classes
• Degenerate principal series and local theta correspondence. II
• Some amazing properties of spherical nilpotent orbits
• On the geometry of conjugacy classes in classical groups
• Reductive dual pair correspondence for complex groups
• Degenerate principal series and local theta correspondence. III: The case of complex groups
• On the quantization of spherical nilpotent orbits
• Dirac cohomology and unipotent representations of complex groups
• Transcending Classical Invariant Theory
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Completely prime maximal ideals and quantization
• Degenerate principal series and local theta correspondence
• Calculating Canonical Distinguished Involutions in the Affine Weyl Groups
• Ideals in polynomial rings and the module of differentials

This page was built for publication: Regular functions of symplectic spherical nilpotent orbits and their quantizations