For each quantum superalgebra U-q[osp(m parallel to n)] with m > 2, an infinite family of Casimir invariants is constructed. This is achieved by using an explicit form for the Lax operator. The eigenvalue of each Casimir invariant on an arbitrary irreducible highest weight module is also calculated. (c) 2005 American Institute of Physics
Representations of quantum superalgebras provide a natural framework in which to model supersymmetri...
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducibl...
We conjecture that for superconformal field theories in even dimensions, the supersymmetric Casimir ...
We present the eigenvalues of the Casimir invariants for the type I quantum superalgebras on any irr...
Induced invariant forms and the multiplicity labeling problem are investigated for typical summands ...
A full set of (higher-order) Casimir invariants for the Lie algebra gl(infinity) is constructed and ...
It is given a way of computing Casimir eigenvalues for Weyl orbits as well as for irreducible repres...
Let U(script G sign̂) be an infinite-dimensional quantum affine Lie algebra. A family of central ele...
Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed ...
We show how to construct, starting from a quasi-Hopf (super)algebra, central elements or Casimir inv...
A full set of invariants for an arbitrary quantum group is constructed which reduce to the Gel'fand ...
27 pages, LaTeX, one reference moved and one formula addedInternational audienceWe examine the two p...
A fully explicit formula for the eigenvalues of Casimir invariants for U-q(gl(m/n)) is given which a...
We give an explicit quantum super field construction of the N=2 super Casimir WA(n)-algebras, which ...
A new general eigenvalue formula for the eigenvalues of Casimir invariants, for the type-I quantum s...
Representations of quantum superalgebras provide a natural framework in which to model supersymmetri...
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducibl...
We conjecture that for superconformal field theories in even dimensions, the supersymmetric Casimir ...
We present the eigenvalues of the Casimir invariants for the type I quantum superalgebras on any irr...
Induced invariant forms and the multiplicity labeling problem are investigated for typical summands ...
A full set of (higher-order) Casimir invariants for the Lie algebra gl(infinity) is constructed and ...
It is given a way of computing Casimir eigenvalues for Weyl orbits as well as for irreducible repres...
Let U(script G sign̂) be an infinite-dimensional quantum affine Lie algebra. A family of central ele...
Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed ...
We show how to construct, starting from a quasi-Hopf (super)algebra, central elements or Casimir inv...
A full set of invariants for an arbitrary quantum group is constructed which reduce to the Gel'fand ...
27 pages, LaTeX, one reference moved and one formula addedInternational audienceWe examine the two p...
A fully explicit formula for the eigenvalues of Casimir invariants for U-q(gl(m/n)) is given which a...
We give an explicit quantum super field construction of the N=2 super Casimir WA(n)-algebras, which ...
A new general eigenvalue formula for the eigenvalues of Casimir invariants, for the type-I quantum s...
Representations of quantum superalgebras provide a natural framework in which to model supersymmetri...
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducibl...
We conjecture that for superconformal field theories in even dimensions, the supersymmetric Casimir ...
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