Representations of the twisted quantized enveloping algebra of type Cn
Abstract
We prove a version of the Poincare-Birkhoff-Witt theorem for the twisted quantized enveloping algebra U'q(sp2n). This is a subalgebra of Uq(gl2n) and a deformation of the universal enveloping algebra U(sp2n) of the symplectic Lie algebra. We classify finite-dimensional irreducible representations of U'q(sp2n) in terms of their highest weights and show that these representations are deformations of the finite-dimensional irreducible representations of sp2n.
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