The problem of construction of irreducible representations of quantum $A^q_n$
algebras is solved at the level of explicit integration of the linear
(inhomogeneous) system in finite differences in the n-dimensional space. The
general solution of this system is given explicitly and particular ones, which
correspond to the irreducible representations are selected.
Publié le : 1998-04-13
Classification:
Nonlinear Sciences - Exactly Solvable and Integrable Systems,
High Energy Physics - Theory,
Mathematical Physics,
Mathematics - Quantum Algebra
@article{9804014,
author = {Leznov, A. N.},
title = {The Gel'fand-Tsetlin Selection Rules and Representations of Quantum
Algebras},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9804014}
}
Leznov, A. N. The Gel'fand-Tsetlin Selection Rules and Representations of Quantum
Algebras. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9804014/