Generalized Verma modules over U_q(sl_n(C))

2018/02/08 by Vyacheslav Futorny, Futorny, Vyacheslav, Libor Křižka +3
Mathematics · Physics and Astronomy · #17B37 #20G42 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1802.02863

openalex publication_date 2018/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct realizations of quantum generalized Verma modules for U_q(sl_n(C)) by quan- tum differential operators. Taking the classical limit q ! 1 provides a realization of classical generalized Verma modules for sl_n(C) by differential operators.

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