2023/07/13 by Daniil Klyuev, Klyuev, Daniil · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2307.06514
openalex publication_date 2023/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let A be a quantized (K-theoretic) BFN Coulomb branch with G=ℂ^* and any N, that is, A is a generalized Weyl or q-Weyl algebra. Let M be an A-A bimodule. Choosing an automorphism ρ of A we can define the notion of an invariant Hermitian form: (au,v)=(u,vρ(a)) for all a∈ A and u,v∈ M. We obtain a classification of invariant positive definite forms on M in the case when M is Harish-Chandra in the sense of Losev and quantization parameter is generic.