51 citations · 61 across the 3 of their papers we have counts for
5 papers
On higher order Sugawara operators
A. V. Chervov, A. I. Molev
The higher Sugawara operators acting on the Verma modules over the affine Kac-Moody algebra at the critical level are related to the higher Hamiltonians of the Gaudin model due to…
Littlewood-Richardson polynomials
A. I. Molev
We introduce a family of rings of symmetric functions depending on an infinite sequence of parameters. A distinguished basis of such a ring is comprised by analogues of the Schur f…
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…
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…
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…