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Media type:
E-Article
Title:
Noncommutative geometry on central extension of U(u(2))
Contributor:
Gurevich, Dimitry;
Saponov, Pavel
Published:
AIP Publishing, 2023
Published in:
Journal of Mathematical Physics, 64 (2023) 6
Language:
English
DOI:
10.1063/5.0143310
ISSN:
0022-2488;
1089-7658
Origination:
Footnote:
Description:
In our previous publications, we have introduced analogs of partial derivatives on the reflection equation algebras, associated with Hecke symmetries. As a consequence, we get quantum partial derivatives on the enveloping algebras U(gl(N)). In the current paper, we consider the particular case N = 2 in detail and discuss the problem of a prolongation of these derivatives onto some central extension of the compact form U(u(2)) of the algebra U(gl(2)). Possible applications of this noncommutative geometry are discussed.