To the Gel'fand-Tsetlin realization of irreducible representations of classical semisimple algebras

Authors
Leznov, AN
Citation
An. Leznov, To the Gel'fand-Tsetlin realization of irreducible representations of classical semisimple algebras, J MATH PHYS, 42(3), 2001, pp. 1384-1396
Citations number
4
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
3
Year of publication
2001
Pages
1384 - 1396
Database
ISI
SICI code
0022-2488(200103)42:3<1384:TTGROI>2.0.ZU;2-P
Abstract
It is shown that the Gel'fand-Tsetlin realization of irreducible representa tions of the A(n) algebra is directly connected with a linear exactly integ rable system in the n-dimensional space. General solutions for this system is explicitly given. (C) 2001 American Institute of Physics.