A description of the quantum superalgebra $U_q[sl(n+1|m)]$ and in particular
of the special linear superalgebra $sl(n+1|m)$ via creation and annihilation
generators (CAGs) is given. It provides an alternative to the canonical
description of $U_q[sl(n+1|m)]$ in terms of Chevalley generators. A conjecture
that the Fock representations of the CAGs provide microscopic realizations of
exclusion statistics is formulated.
Publié le : 1998-11-24
Classification:
Mathematics - Quantum Algebra,
Condensed Matter - Statistical Mechanics,
High Energy Physics - Theory,
Mathematical Physics
@article{9811141,
author = {Palev, T. D. and Stoilova, N. I.},
title = {A description of the quantum superalgebra $U\_q[sl(n+1|m)]$ via creation
and annihilation generators},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9811141}
}
Palev, T. D.; Stoilova, N. I. A description of the quantum superalgebra $U_q[sl(n+1|m)]$ via creation
and annihilation generators. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811141/