Módulos tipo Verma sobre álgebra TKK afim estendida / Verma type module over an extended affine TKK algebra.
AUTOR(ES)
Anliy Natsuyo Nashimoto Sargeant
DATA DE PUBLICAÇÃO
2007
RESUMO
The extended affine TKK Lie algebras belong to a class of Lie algebras called extended affine Lie algebras of type $A_1$. They are obtained from a semilattice on $\mathbbR^n$. We studied the structure of the Verma type modules for the extended affine TKK algebra obtained from a semi-lattice (non-lattice) on $\mathbbR^2$. Fixing a set of positive isotropic roots called standard we found four orbits of the Borel subalgebra each of which give distinct Verma modules for the extended affine TKK algebra. We studied the structures of their submodules and found a criteria for irreducibility for the classic and imaginary Verma modules.
ASSUNTO(S)
álgebra tkk afim estendida módulo de verma verma module extended affine tkk algebra álgebra de lie afim estendida extended affine lie algebra
