DIAGONALIZATION OF THE BRAID GENERATOR ON UNITARY IRREPS OF QUANTUM SUPERGROUPS

Authors
LINKS JR SCHEUNERT M GOULD MD
Citation
Jr. Links et al., DIAGONALIZATION OF THE BRAID GENERATOR ON UNITARY IRREPS OF QUANTUM SUPERGROUPS, letters in mathematical physics, 32(3), 1994, pp. 231-240
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
32
Issue
3
Year of publication
1994
Pages
231 - 240
Database
ISI
SICI code
0377-9017(1994)32:3<231:DOTBGO>2.0.ZU;2-E
Abstract
It is shown that the braid generator sigma associated with the univers al R-matrix is diagnoalizable on all unitary representations of quantu m supergroups. An example is considered using U(q)(gl(2\1)) and a fami ly of eight-dimensional typical representations.