11 citations · 16 across the 3 of their papers we have counts for
9 papers
Quasideterminants and Casimir elements for the general Lie superalgebra
Alexander Molev, Vladimir Retakh
We apply the techniques of quasideterminants to construct new families of Casimir elements for the general Lie superalgebra whose images under the Harish-Chandra isomorphism are re…
Harish-Chandra modules for Yangians
Vyacheslav Futorny, Alexander Molev, Serge Ovsienko
We study Harish-Chandra representations of Yangian for gl(2). We prove an analogue of Kostant theorem showing that resterited Yangians for gl(2) are free modules over certain maxim…
Yangians and their applications
A. I. Molev
This is a review paper on the algebraic structure and representations of the A type Yangian and the B, C, D types twisted Yangians. Some applications to constructions of Casimir el…
Irreducibility criterion for tensor products of Yangian evaluation modules
A. I. Molev
The evaluation homomorphisms from the Yangian Y(gl_n) to the universal enveloping algebra U(gl_n) allow one to regard the irreducible finite-dimensional representations of gl_n as…
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups
A. I. Molev, G. I. Olshanski
In our recent papers the centralizer construction was applied to the series of classical Lie algebras to produce the quantum algebras called (twisted) Yangians. Here we extend this…
A weight basis for representations of even orthogonal Lie algebras
A. I. Molev
A weight basis for each finite-dimensional irreducible representation of the orthogonal Lie algebra o(2n) is constructed. The basis vectors are parametrized by the D-type Gelfand--…