On U\(_{\hbar}(\mathfrak g,r)\)-equivariant quantization of non-orbit homogeneous varieties

DOI10.1016/S0034-4877(08)80018-3zbMath1167.53069arXivmath/0211081OpenAlexW2084127189MaRDI QIDQ1025381

Vadim Ostapenko

Publication date: 18 June 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211081

zbMATH Keywords

quantum groupdeformation quantizationPoisson bracketequivariant deformationnon-orbit homogeneous varieties

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Cites Work

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• A family of Poisson structures on Hermitian symmetric spaces
• Double quantization on some orbits in the coadjoint representations of simple Lie groups
• Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank.
• Quantum symmetric spaces
• On the deformation of rings and algebras
• Differential Forms On Regular Affine Algebras

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