2024/03/11 by R. Fioresi, Fioresi, Rita, Emanuele Latini +3
Chemistry · Computer Science · #Advanced Physical and Chemical Molecular Interactions #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Computing Algorithms and Architecture
paper · pdf · doi:10.48550/arxiv.2403.06830
openalex publication_date 2024/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we develop the theory of reduction of quantum principal bundles over projective bases. We show how the sheaf theoretic approach can be effectively applied to certain relevant examples as the Klein model for the projective spaces; in particular we study in the algebraic setting the reduction of the principal bundle GL(n) → GL(n)/P= Pn-1(ℂ) to the Levi subgroup G0 inside the maximal parabolic subgroup P of GL(n). We characterize reductions in the sheaf theoretic setting.