Reference : Double-Graded Quantum Superplane
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/44997
Double-Graded Quantum Superplane
English
Bruce, Andrew mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Duplij, Steven mailto [Universitat Münster > Center for Information Technology]
Dec-2020
Reports on Mathematical Physics
Polish Scientific Publishers
86
3
383-400
Yes
International
[en] quantum superplane ; graded Hopf algebras ; bicovariant calculus
[en] A ℤ2 × ℤ2-graded generalisation of the quantum superplane is proposed and studied. We construct a bicovariant calculus on what we shall refer to as the double-graded quantum superplane. The ommutation rules between the coordinates, their differentials and partial derivatives are explicitly given. Furthermore, we show that an extended version of the double-graded quantum superplane admits a natural Hopf -algebra structure.
http://hdl.handle.net/10993/44997
10.1016/S0034-4877(20)30089-6

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