Add to ORKGAn explicit construction of all finite-dimensional irreducible representations of classical Lie algebras is a solved problem and a Gelfand-Zetlin type basis is known. However the latter lacks the orthogonality property or does not consist of weight vectors for so(n) and sp(2n). In case of Lie superalgebras all finite-dimensional irreducible representations are constructed explicitly only for gl(1|n), gl(2|2), osp(3|2) and for the so called essentially typical representations of gl(m|n). In the present paper we introduce an orthogonal basis of weight vectors for a class of infinite-dimensional representations of the orthosymplectic Lie superalgebra osp(1|2n) and for all irreducible covariant tensor representations of the general linear Lie s...
The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and...
Using the equivalence of the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) to...
Clebsch-Gordan coefficients corresponding to the tensor product of the natural representation V([1, ...
An explicit construction of all finite-dimensional irreducible representations of classical Lie alge...
An explicit construction of all finite-dimensional irreducible representations of classical Lie alge...
A Gel’fand-Zetlin basis is introduced for the irreducible covariant tensor representations of the Li...
A Gel’fand-Zetlin basis is introduced for the irreducible covariant tensor representations of the Li...
An orthogonal basis of weight vectors for a class of infinite-dimensional representations of the ort...
An orthogonal basis of weight vectors for a class of infinite-dimensional representations of the ort...
It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equiva...
The defining triple relations of m pairs of parafermion operators f_i^\pm and n pairs of paraboson o...
The defining triple relations of m pairs of parafermion operators f_i^\pm and n pairs of paraboson o...
The defining triple relations of m pairs of parafermion operators f_i^\pm and n pairs of paraboson o...
We introduce a new Gelfand-Zetlin (GZ) basis for covariant representations of gl(n|n). The patterns ...
The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and...
The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and...
Using the equivalence of the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) to...
Clebsch-Gordan coefficients corresponding to the tensor product of the natural representation V([1, ...
An explicit construction of all finite-dimensional irreducible representations of classical Lie alge...
An explicit construction of all finite-dimensional irreducible representations of classical Lie alge...
A Gel’fand-Zetlin basis is introduced for the irreducible covariant tensor representations of the Li...
A Gel’fand-Zetlin basis is introduced for the irreducible covariant tensor representations of the Li...
An orthogonal basis of weight vectors for a class of infinite-dimensional representations of the ort...
An orthogonal basis of weight vectors for a class of infinite-dimensional representations of the ort...
It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equiva...
The defining triple relations of m pairs of parafermion operators f_i^\pm and n pairs of paraboson o...
The defining triple relations of m pairs of parafermion operators f_i^\pm and n pairs of paraboson o...
The defining triple relations of m pairs of parafermion operators f_i^\pm and n pairs of paraboson o...
We introduce a new Gelfand-Zetlin (GZ) basis for covariant representations of gl(n|n). The patterns ...
The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and...
The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and...
Using the equivalence of the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) to...
Clebsch-Gordan coefficients corresponding to the tensor product of the natural representation V([1, ...