This article is cited in 1 paper

Second-order quantum argument shifts in $Ugl_d$

Y. Ikeda

Lomonosov Moscow State University, Moscow, Russia

Abstract: We describe an explicit formula for the second-order quantum argument shifts of an arbitrary central element of the universal enveloping algebra of a general linear Lie algebra. We identify the generators of the subalgebra generated by the quantum argument shifts up to the second order.

Keywords: universal enveloping algebra, Lie algebra, quantum argument shift method, deformation quantization.

Received: 22.06.2023
Revised: 28.02.2024

DOI: 10.4213/tmf10578

 English version: Theoretical and Mathematical Physics, 2024, 220:2, 1294–1303

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