An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]
Abstract
An alternative to the Chevalley description of Lie algebra sl(n+1), of its universal enveloping algebra U[sl(n+1)] and of its qdeformed analogue U_q[sl(n+1)] in terms of generators, called creation and annihilation generators (CAGs), and relations is given. It is indicated (without further discussions) that the representations of the CAGs describe new quantum statistics, which is a particular case of the Haldane exclusion statistics.
 Publication:

eprint arXiv:qalg/9608024
 Pub Date:
 August 1996
 DOI:
 10.48550/arXiv.qalg/9608024
 arXiv:
 arXiv:qalg/9608024
 Bibcode:
 1996q.alg.....8024P
 Keywords:

 Mathematics  Quantum Algebra;
 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 Plaintex, 13 pages