Finite versions of W-algebras are introduced by considering (symplectic) reductions of finite dimensional simple Lie algebras. It is shown that a nonlinear su(2) algebra previously introduced by Rocek [Phys. Lett. B 255 (1991 ) 5541 is nothing but a finite analogue of W3(2) and therefore a reduction of sl3. Its unitary and non-unitary, reducible and irreducible highest weight representations are constructed.
机构:
Univ Savoie, CNRS, UMR 5108, Lab Annecy Le Vieux Phys Particules,LAPTH, F-74941 Annecy Le Vieux, FranceUniv Savoie, CNRS, UMR 5108, Lab Annecy Le Vieux Phys Particules,LAPTH, F-74941 Annecy Le Vieux, France
Briot, C
Ragoucy, E
论文数: 0引用数: 0
h-index: 0
机构:
Univ Savoie, CNRS, UMR 5108, Lab Annecy Le Vieux Phys Particules,LAPTH, F-74941 Annecy Le Vieux, FranceUniv Savoie, CNRS, UMR 5108, Lab Annecy Le Vieux Phys Particules,LAPTH, F-74941 Annecy Le Vieux, France
Ragoucy, E
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,
2001,
34
(36):
: 7287
-
7310