Gomes, J. F.Da Silveira, FEMZimerman, A. H.Sotkov, G. M.2014-05-202014-05-202000-01-01Nonassociative Algebra and Its Applications. New York: Marcel Dekker, v. 211, p. 417-437, 2000.0075-8469http://hdl.handle.net/11449/23487The problem of the classification of the extensions of the Virasoro algebra is discussed. It is shown that all H-reduced G(r)-current algebras belong to one of the following basic algebraic structures: local quadratic W-algebras, rational U-algebras, nonlocal W-algebras, nonlocal quadratic WV-algebras and rational nonlocal UV-algebras. The main new features of the quantum Ir-algebras and their heighest weight representations are demonstrated on the example of the quantum V-3((1,1))-algebra.417-437engTrabalho apresentado em eventoWOS:000168477500037Acesso aberto92877760781495518215976645016606