Explicit equivariant quantization on coadjoint orbits of \(\text{GL}(n,\mathbb C)\)

DOI10.1023/A:1021677725539zbMath1030.53090arXivmath/0206049MaRDI QIDQ1868408

Joseph Donin, Andrey Mudrov

Publication date: 27 April 2003

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206049

zbMATH Keywords

quantum groupcoadjoint orbitsuniversal enveloping algebrageneralized Verma modulereflection equationequivariant quantizationKirillov-Kostant-Souriau brackets

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Deformation quantization, star products (53D55)

Related Items

Quantum character varieties and braided module categories, Representations of quantum conjugacy classes of orthosymplectic groups, Representation rings of quantum groups., Spectral extension of the quantum group cotangent bundle, On representations of quantum conjugacy classes of \(\mathrm{GL}(n)\), The field of quantum \(\mathrm{GL}(N,\mathbb {C})\) in the \(\mathrm C^*\)-algebraic setting, Symmetries of the simply-laced quantum connections and quantisation of quiver varieties, Quantum conjugacy classes of simple matrix groups, Quantum twistors, Non-Levi closed conjugacy classes of SO q(N), \(q\)-index on braided non-commutative spheres, Dynamical Yang-Baxter equation and quantum vector bundles, Quantization of orbit bundles in \(\mathfrak {gl}_n^{*}\)(\(\mathbb C\)), Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type, The center of the reflection equation algebra via quantum minors, A quantum homogeneous space of nilpotent matrices.