On Poincar\'e--Birkhoff--Witt basis of the~quantum general linear superalgebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 3, pp. 613-629
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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.
@article{TMF_2023_217_3_a11,
author = {A. V. Razumov},
title = {On {Poincar\'e--Birkhoff--Witt} basis of the~quantum general linear superalgebra},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {613--629},
publisher = {mathdoc},
volume = {217},
number = {3},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2023_217_3_a11/}
}
TY - JOUR AU - A. V. Razumov TI - On Poincar\'e--Birkhoff--Witt basis of the~quantum general linear superalgebra JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2023 SP - 613 EP - 629 VL - 217 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2023_217_3_a11/ LA - ru ID - TMF_2023_217_3_a11 ER -
A. V. Razumov. On Poincar\'e--Birkhoff--Witt basis of the~quantum general linear superalgebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 3, pp. 613-629. http://geodesic.mathdoc.fr/item/TMF_2023_217_3_a11/