Title: Finite-dimensional representations of U_q[gl(2/1)] in a basis of U_q[gl(2)\oplus gl(1)]
Abstract: The quantum superalgebra $U_q[gl(2/1)]$ is given as both a Drinfel'd--Jimbo deformation of $U[gl(2/1)]$ and a Hopf superalgebra. Finite--dimensional representations of this quantum superalgebra are constructed and investigated in a basis of its even subalgebra $U_q[gl(2)\oplus gl(1)]$. The present method for constructing representations of a quantum superalgebra combines previously suggested ones for the cases of superalgebras and quantum superalgebras, and, therefore, has an advantage in comparison with the latter.
Publication Year: 2003
Publication Date: 2003-05-14
Language: en
Type: preprint
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Cited By Count: 1
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