Based on the constructed new Lie super-algebra from OSP (2, 2), the super bi-Hamiltonian
structure of a new super AKNS hierarchy is obtained by making use of super-trace identity …

We present a novel realization of the Z 2× Z 2-graded Lie superalgebra gl (m 1, m 2| n 1, n 2)
inside an algebraic extension of the enveloping algebra of the Z 2-graded Lie superalgebra …

An orthogonal basis of weight vectors for a class of infinite-dimensional representations of
the orthosymplectic Lie superalgebra $\mathfrak {o}\mathfrak {s}\mathfrak {p}(2m+ 1| 2n) $ is …

In terms of highest weights, we establish branching rules for finite dimensional unitary
simple modules of the general linear Lie superalgebra gl_m|n. Our proof uses the Howe …

Using our recent results on eigenvalues of invariants associated to the Lie superalgebra gl
(m| n), we use characteristic identities to derive explicit matrix element formulae for all gl (m …

We present an overview of characteristic identities for Lie algebras and superalgebras. We
outline methods that employ these characteristic identities to deduce matrix elements of …

In this paper fundamental Wigner coefficients are determined algebraically by considering
the eigenvalues of certain generalized Casimir invariants. Here this method is applied in the …

We utilise characteristic identities to construct eigenvalue formulae for invariants and
reduced matrix elements corresponding to irreducible representations of osp (m| n). In …

The algebraic structure generated by the creation and annihilation operators of a system of
m parafermions and n parabosons, satisfying the mutual parafermion relations, is known to …

The characteristic identity formalism discussed in our recent articles is further utilized to
derive matrix elements of type 2 unitary irreducible gl (m| n) modules. In particular, we give …