English

Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras

Quantum Algebra 2022-06-01 v1 Mathematical Physics math.MP

Abstract

We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducible representations of the quantum supergroup Uq[gl(mn)]U_q[gl(m|n)]. The techniques employed make use of modified characteristic identity methods and allow for the evaluation of generator matrix elements and reduced Wigner coefficients.

Keywords

Cite

@article{arxiv.2112.08537,
  title  = {Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras},
  author = {Mark D. Gould and Phillip S. Isaac and Jason L. Werry},
  journal= {arXiv preprint arXiv:2112.08537},
  year   = {2022}
}

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50 pages