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Differential geometry of GL(1/1)

Journal of Mathematical Physics, ISSN: 0022-2488, Vol: 41, Issue: 10, Page: 6976-6994
2000
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Article Description

We introduce a construction of the differential calculus on the quantum supergroup GL(1/1). We obtain two differential calculi, respectively, associated with the left and the right Cartan-Maurer one-forms. We also obtain the quantum superalgebra of GL(1/1). Although all of the structures we obtain are derived without an R matrix, they nevertheless can be expressed using an R matrix. © 2000 American Institute of Physics.

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