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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 3, Pages 613–629
DOI: https://doi.org/10.4213/tmf10444 (Mi tmf10444) 		 
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
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DOI: https://doi.org/10.4213/tmf10444
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.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-12005
This work was supported in part by the Russian Foundation for Basic Research (grant No. 20-51-12005).
Received: 23.01.2023
Revised: 23.01.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 3, Pages 1938–1953
DOI: https://doi.org/10.1134/S0040577923120115
Bibliographic databases:
Document Type: Article
PACS: 02.20Uw, 02.30Ik
MSC: 17B37, 20G42
Language: Russian
Citation: A. V. Razumov, “On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra”, TMF, 217:3 (2023), 613–629; Theoret. and Math. Phys., 217:3 (2023), 1938–1953
Citation in format AMSBIB
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\paper On Poincar\'e--Birkhoff--Witt basis of the~quantum general linear superalgebra
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\pages 613--629
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\pages 1938--1953
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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