Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras

Abstract

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

50 pages

References in corpus (3)

• Characteristic identities for Lie (super)algebras
• Reduced matrix elements of the orthosymplectic Lie superalgebra
• Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond