EIGENVALUES OF CASIMIR INVARIANTS FOR UNITARY IRREPS OF UQ(GL(M-VERTICAL-BAR-N))

Authors
GOULD MD LINKS JR
Citation
Md. Gould et Jr. Links, EIGENVALUES OF CASIMIR INVARIANTS FOR UNITARY IRREPS OF UQ(GL(M-VERTICAL-BAR-N)), Journal of physics. A, mathematical and general, 30(5), 1997, pp. 1613-1627
Citations number
26
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
5
Year of publication
1997
Pages
1613 - 1627
Database
ISI
SICI code
0305-4470(1997)30:5<1613:EOCIFU>2.0.ZU;2-T
Abstract
A fully explicit formula for the eigenvalues of Casimir invariants for U-q(gl(m/n)) is given which applies to all unitary irreps. This is ac hieved by making some interesting observations on atypicality indices for irreps occurring in the tensor product of unitary irreps of the sa me type. These results have applications in the determination of link polynomials arising from unitary irreps of U-q(gl(m/n)).