The theory of semisimple Lie algebras and their representations lies in the heart of modern
mathematics. It has numerous connections with other areas of mathematics and physics …

We study the quantum affine superalgebra U_q (L sl (M, N)) U q (L sl (M, N)) and its finite-
dimensional representations. We prove a triangular decomposition and establish a system …

The structure and representations of the quantum general linear supergroup GL q (m| n) are
studied systematically by investigating the Hopf superalgebra G q of its representative …

Abstract The Gelfand-Tzetlin method provides explicit coordinates on the parameter space
of the unitary group U (k) which make direct evaluations of group integrals possible. It is …

We give explicit actions of Drinfeld generators on Gelfand–Tsetlin bases of super Yangian
modules associated with skew Young diagrams. In particular, we give another proof that …

A Gel'fand–Zetlin basis is introduced for the irreducible covariant tensor representations of
the Lie superalgebra gl (m∣ n)⁠. Explicit expressions for the generators of the Lie …

We examine in this paper the two parameter deformed superalgebra 𝒰 qs (sl (1‖ 2)) and
use the results in the construction of quantum chain Hamiltonians. This study is done both in …

Quantum groups at the roots of unity have the property that their centre is enlarged.
Polynomial equations relate the standard deformed Casimir operators and the new central …

The construction approach proposed in the previous paper [NA Ky, J. Math. Phys. 35, 2583
(1994)] allows us there and in the present paper to construct at generic deformation …

We show that the Alexander-Conway polynomial Δ is obtainable via a particular one-
variable reduction of each two-variable Links–Gould invariant LG m, 1, where m is a positive …