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math.QA2006★ 2 cited
Representations of the twisted quantized enveloping algebra of type C_n
A. I. Molev
We prove a version of the Poincare-Birkhoff-Witt theorem for the twisted quantized enveloping algebra U'_q(sp_2n). This is a subalgebra of U_q(gl_2n) and a deformation of the unive…
math.QA2004
Skew representations of twisted Yangians
A. I. Molev
Analogs of the classical Sylvester theorem have been known for matrices with entries in noncommutative algebras including the quantized algebra of functions on GL(N) and the Yangia…
math.QA2002
A new quantum analog of the Brauer algebra
A. I. Molev
We introduce a new algebra B_l(z,q) depending on two nonzero complex parameters such that B_l(q^n,q) at q=1 coincides with the Brauer algebra B_l(n). We establish an analog of the…