DOIAbstract
Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed in any irreducible highest-weight representation
Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed in any irreducible highest-weight representation
We describe a method for computing Casimir invariants that is applicable to both finite and infinite...
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algeb...
We introduce a search algorithm that utilises differential operator realisations to find polynomial ...
Let U(script G sign̂) be an infinite-dimensional quantum affine Lie algebra. A family of central ele...
A full set of invariants for an arbitrary quantum group is constructed which reduce to the Gel'fand ...
We present the eigenvalues of the Casimir invariants for the type I quantum superalgebras on any irr...
Let U(q)(G) be a quantized affine Lie algebra. It is proven that the universal R-matrix R of U(q)(G)...
Induced invariant forms and the multiplicity labeling problem are investigated for typical summands ...
For each quantum superalgebra U-q[osp(m parallel to n)] with m > 2, an infinite family of Casimir in...
A fully explicit formula for the eigenvalues of Casimir invariants for U-q(gl(m/n)) is given which a...
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...
We propose a systematic procedure to construct polynomial algebras from intermediate Casimir invaria...
This paper uses the structure of the Lie algebras to identify the Casimir invariant functions and L...
The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials...
We describe a method for computing Casimir invariants that is applicable to both finite and infinite...
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algeb...
We introduce a search algorithm that utilises differential operator realisations to find polynomial ...
Let U(script G sign̂) be an infinite-dimensional quantum affine Lie algebra. A family of central ele...
A full set of invariants for an arbitrary quantum group is constructed which reduce to the Gel'fand ...
We present the eigenvalues of the Casimir invariants for the type I quantum superalgebras on any irr...
Let U(q)(G) be a quantized affine Lie algebra. It is proven that the universal R-matrix R of U(q)(G)...
Induced invariant forms and the multiplicity labeling problem are investigated for typical summands ...
For each quantum superalgebra U-q[osp(m parallel to n)] with m > 2, an infinite family of Casimir in...
A fully explicit formula for the eigenvalues of Casimir invariants for U-q(gl(m/n)) is given which a...
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...
We propose a systematic procedure to construct polynomial algebras from intermediate Casimir invaria...
This paper uses the structure of the Lie algebras to identify the Casimir invariant functions and L...
The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials...
We describe a method for computing Casimir invariants that is applicable to both finite and infinite...
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algeb...
We introduce a search algorithm that utilises differential operator realisations to find polynomial ...
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