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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2023 Volume 217, Number 3, Pages 613–629 (Mi tmf10444)

This article is cited in 1 paper

On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra

A. V. Razumov

Logunov Institute for High Energy Physics, National Research Center "Kurchatov Institute," Protvino, Moscow Region, Russia

Abstract: We give a detailed derivation of the commutation relations for the Poincaré–Birkhoff–Witt generators of the quantum superalgebra $\mathrm U_q(\mathfrak{gl}_{M|N})$.

Keywords: quantum general linear superalgebra, Poincaré–Birkhoff–Witt basis.

PACS: 02.20Uw, 02.30Ik

MSC: 17B37, 20G42

Received: 23.01.2023
Revised: 23.01.2023

DOI: 10.4213/tmf10444


 English version:
Theoretical and Mathematical Physics, 2023, 217:3, 1938–1953

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© Steklov Math. Inst. of RAS, 2026