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Generalized Verma modules over U_q(sl_n(C))

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arxiv 1802.02863 v1 pith:I4DELDY6 submitted 2018-02-08 math.QA

Vyacheslav Futorny , Libor Krizka , Jian Zhang This is my paper · ORCID
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keywords generalizedmodulesvermaclassicaldifferentialoperatorsconstructlimit
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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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  1. Non-extremal weight modules for quantized universal enveloping algebras

    math.QA 2019-08 conditional novelty 7.0 of 10

    Inducing modules from the centralizer of the Cartan subalgebra yields non-extremal weight modules, and for Uq(sl(2,C)) this construction recovers the admissible unitary representations of Uq(su(1,1)).

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