An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]

Details An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)] An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]

1996-08-28

arxiv.org/abs/q-alg/9608024v1

Lett.Math.Phys. 43 (1998) 7-19

Physics

Condensed Matter

Plaintex, 13 pages

Scientific paper

An alternative to the Chevalley description of Lie algebra sl(n+1), of its universal enveloping algebra U[sl(n+1)] and of its q-deformed 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.

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