The centrally extended superalgebra was shown to play an important role for the integrable
structures of the one-dimensional Hubbard model and of the planar AdS/CFT …

The spectral problem for the AdS 5× S 5 superstring and its dual planar maximally
supersymmetric Yang–Mills theory can be efficiently solved through a set of functional …

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 …

A bstract We construct a relativistic scattering theory based on aq deformation and large
string tension limit of the magnon S-matrix of the string world sheet theory in AdS 5× S 5. The …

Abstract The Gelfand-Zetlin basis for representations of U q (sl (N)) is improved to better fit
the case when q is a root of unity. The usual q-deformed representations, as well as the …

In a series of two papers all finite‐dimensional irreducible representations and some
indecomposible representations of the general linear Lie superalgebra gl (2/2) are …

In the present paper all typical finite-dimensional representations of the quantum Lie
superalgebra U,[g1 (2/2)] are constructed at generic deformation parameter Q. As in the …

We find the Hopf superalgebra, which is in duality with the multiparameter quantum
deformation GL uq (m/n) of the supergroup GL (m/n). Naturally is a multiparameter …

We present a classification of the possible quantum deformations of the supergroup and its
Lie superalgebra. In each case, the (super) commutation relations and the Hopf structures …

With applications in quantum field theory, general relativity and elementary particle physics,
this four-volume work studies the invariance of differential operators under Lie algebras …