Quantization of pencils with a gl-type Poisson center and braided geometry

DOI10.4064/BC93-0-12zbMath1248.81090arXiv1002.1594OpenAlexW2963465527MaRDI QIDQ3118480

Dimitri Gurevich, Pavel A. Saponov

Publication date: 2 March 2012

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1594

zbMATH Keywords

Poisson centerCayley-Hamilton identityPoisson pencileigenvalues of the generating matrixreflection equaton algebrasuper-orbit

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Geometric quantization (53D50) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (2)

Homological properties of certain generalized Jacobian Poisson structures in dimension 3 ⋮ Generic super-orbits in \(gl(mn)^*\) and their braided counterparts

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