Abstract
We construct realizations of quantum generalized Verma modules for \(U_{q}(\mathfrak {sl}_{n}(\mathbb {C}))\) by quantum differential operators. Taking the classical limit \(q \rightarrow 1\) provides a realization of classical generalized Verma modules for \(\mathfrak {sl}_{n}(\mathbb {C})\) by differential operators.
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V. F. is supported in part by CNPq (304467/2017-0) and by Fapesp (2014/09310-5); L. K. is supported by Capes (88887.137839/2017-00) and J. Z. is supported by Fapesp (2015/05927-0).
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Presented by: Vyjayanthi Chari
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Futorny, V., Křižka, L. & Zhang, J. Generalized Verma Modules over \(U_{q}(\mathfrak {sl}_{n}(\mathbb {C}))\). Algebr Represent Theor 23, 811–832 (2020). https://doi.org/10.1007/s10468-019-09878-4
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DOI: https://doi.org/10.1007/s10468-019-09878-4