Non-local equivariant star product on the minimal nilpotent orbit

DOI10.1006/aima.2002.2073zbMath1010.22021arXivmath/0010257OpenAlexW2129914640MaRDI QIDQ1865269

Ranee Kathryn Brylinski, Alexander Astashkevich

Publication date: 26 March 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010257

zbMATH Keywords

coadjoint orbitstar productnilpotent orbitPoisson algebraJoseph idealcomplex simple Lie groupmomentum function

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Solvable, nilpotent (super)algebras (17B30)

Related Items (4)

Equivariant deformation quantization for the cotangent bundle of a flag manifold ⋮ The Joseph Ideal for $$\mathfrak {sl}(m|n)$$ ⋮ Deformation quantization and superconformal symmetry in three dimensions ⋮ Higher symmetries of the Laplacian via quantization

Cites Work

• Some ideas about quantization
• Geometric quantization of real minimal nilpotent orbits
• Algebraic deformation program on minimal nilpotent orbit
• Kirillov-Duflo orbit method and minimal representations of simple groups over a local field of characteristic zero
• Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
• Projectively equivariant symbol calculus
• The minimal orbit in a simple Lie algebra and its associated maximal ideal
• Nonlocality of equivariant star products on \(T^*(\mathbb{R}\mathbb{P}^n)\)
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