Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras
arXiv:2112.08537 · doi:10.1088/1751-8121/ac6715
Abstract
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducible representations of the quantum supergroup . The techniques employed make use of modified characteristic identity methods and allow for the evaluation of generator matrix elements and reduced Wigner coefficients.
arXiv comment50 pages
References in corpus (7)
- Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)
- Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)
- Characteristic identities for Lie (super)algebras
- Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond
- Reduced matrix elements of the orthosymplectic Lie superalgebra
- Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)
- Invariants and matrix elements of the quantum group revisited