Quantization of borderline Levi conjugacy classes of orthogonal groups

2013/10/29 by Thomas Ashton, Andrey Mudrov
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Canonical quantization #Conjugacy class #Geometric quantization #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum mechanics #Statistics #math.QA

paper · pdf · doi:10.1063/1.4902381

23 pages, no figures

arxiv created 2013/10/29 · openalex publication_date 2014/12/01 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct an equivariant quantization of a special family of Levi conjugacy classes of the complex orthogonal group SO(N), whose stabilizer contains a Cartesian factor SO(2) × SO(P), 1 ⩽ P < N, P ≡ N mod 2.

Citations

• On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups
• Orthogonal basis for the Shapovalov form on A_n
• Quantization of Lie Groups and Lie Algebras