Generalized Verma modules over U_q(sl_n(C))
Vyacheslav Futorny, Libor Krizka, Jian Zhang
TL;DR
This paper constructs realizations of quantum generalized Verma modules for U_q(sl_n(C)) using quantum differential operators, and connects them to classical modules via the limit q → 1.
Contribution
It introduces a novel realization of quantum generalized Verma modules through quantum differential operators, bridging quantum and classical cases.
Findings
Quantum generalized Verma modules realized by quantum differential operators.
Classical limit q → 1 recovers classical generalized Verma modules.
Provides a new framework linking quantum and classical representation theories.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons