11 citations · 16 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
Yangians and transvector algebras
A. I. Molev
Olshanski's centralizer construction provides a realization of the Yangian for the Lie algebra gl(n) as a subalgebra in the projective limit of a chain of centralizers in the unive…