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 …

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 …

This paper gives a connection between well-chosen reductions of the Links–Gould
invariants of oriented links and powers of the Alexander–Conway polynomial. This …

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 …

We develop explicit formulae for the eigenvalues of various invariants for highest weight
irreducible representations of the quantum supergroup U q [gl (m| n)]. The techniques …

In a previous paper the generator matrix elements and (dual) vector reduced Wigner
coefficients (RWCs) were evaluated via the polynomial identities satisfied by a certain matrix …