GENERAL EIGENVALUE FORMULA FOR CASIMIR INVARIANTS OF TYPE-I QUANTUM SUPERALGEBRAS

Authors
GOULD MD LINKS JR
Citation
Md. Gould et Jr. Links, GENERAL EIGENVALUE FORMULA FOR CASIMIR INVARIANTS OF TYPE-I QUANTUM SUPERALGEBRAS, Journal of mathematical physics, 37(5), 1996, pp. 2426-2456
Citations number
52
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
5
Year of publication
1996
Pages
2426 - 2456
Database
ISI
SICI code
0022-2488(1996)37:5<2426:GEFFCI>2.0.ZU;2-F
Abstract
Induced invariant forms and the multiplicity labeling problem are inve stigated for typical summands of the tensor product of an arbitrary fi nite dimensional irreducible representation and a typical one, for the type I quantum superalgebras. The results are applied to obtain a gen eral eigenvalue formula for Casimir invariants, corresponding to an ar bitrary finite dimensional irreducible reference representation. (C) 1 996 American Institute of Physics.