The University of Queensland

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 1993Show all

7 papers · 1 filter

hep-th1993★ 9 cited

Quantum Affine Lie Algebras, Casimir Invariants and Diagonalization of the Braid Generator

Mark D. Gould, Yao-Zhong Zhang

Let $U_{q} (G^)$ be an infinite-dimensional quantum affine Lie algebra. A family of central elements or Casimir invariants are constructed and their eigenvalues computed in…

hep-th1993★ 32 cited

Infinite Families of Gauge-Equivalent $R$ -Matrices and Gradations of Quantized Affine Algebras

Anthony J. Bracken, Gustav W. Delius, Mark D. Gould +1

Associated with the fundamental representation of a quantum algebra such as $U_{q} (A_{1})$ or $U_{q} (A_{2})$ , there exist infinitely many gauge-equivalent $R$ -matrices with different spect…

hep-th1993★ 25 cited

Quantum Affine Algebras and Universal $R$ -Matrix with Spectral Parameter

Yao-Zhong Zhang, Mark D. Gould

Using the previous obtained universal $R$ -matrix for the quantized nontwisted affine Lie algebras $U_{q} (A_{1}^{(1)})$ and $U_{q} (A_{2}^{(1)})$ , we determine the explicitly spectral-depend…

hep-th1993★ 1 cited

Casimir Invariants for Quantized Affine Lie Algebras

M. D. Gould, Y. -Z. Zhang

Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed in any irreducible highest weight representation.

hep-th1993★ 4 cited

Quantized Affine Lie Algebras and Diagonalization of Braid Generators

Mark D. Gould, Yao-Zhong Zhang

Let $U_{q} (G^)$ be a quantized affine Lie algebra. It is proven that the universal R-matrix $R$ of $U_{q} (G^)$ satisfies the celebrated conjugation relation $R^\dag…

hep-th1993★ 7 cited

Unitarity and Complete Reducibility of Certain Modules over Quantized Affine Lie Algebras

Yao-Zhong Zhang, Mark D. Gould

Let $U_{q} (G^)$ denote the quantized affine Lie algebra and $U_{q} (G^{(1)})$ the quantized {\em nontwisted} affine Lie algebra. Let $O_{fin}$ be the categor…

hep-th1993★ 9 cited

On Universal $R$ -Matrix for Quantized Nontwisted Rank 3 Affine Lie Algebras

Yao-Zhong Zhang, Mark D. Gould

Explicit formulas of the universal $R$ -matrix are given for all quantized nontwisted rank 3 affine Lie algebras $U_{q} (A_{2}^{(1)}), U_{q} (C_{2}^{(1)})$ and $U_{q} (G_{2}^{(1)})$ .

Quantum Affine Lie Algebras, Casimir Invariants and Diagonalization of the Braid Generator

Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras

Quantum Affine Algebras and Universal R-Matrix with Spectral Parameter

Casimir Invariants for Quantized Affine Lie Algebras

Quantized Affine Lie Algebras and Diagonalization of Braid Generators

Unitarity and Complete Reducibility of Certain Modules over Quantized Affine Lie Algebras

On Universal R-Matrix for Quantized Nontwisted Rank 3 Affine Lie Algebras

Infinite Families of Gauge-Equivalent $R$ -Matrices and Gradations of Quantized Affine Algebras

Quantum Affine Algebras and Universal $R$ -Matrix with Spectral Parameter

On Universal $R$ -Matrix for Quantized Nontwisted Rank 3 Affine Lie Algebras