Verma Modules Over the Generalized Heisenberg-Virasoro Algebra
Titel:
Verma Modules Over the Generalized Heisenberg-Virasoro Algebra
Auteur:
Shen, Ran Jiang, Qifen Su, Yucai
Verschenen in:
Communications in algebra
Paginering:
Jaargang 36 (2008) nr. 4 pagina's 1464-1473
Jaar:
2008-04
Inhoud:
For any additive subgroup G of an arbitrary field of characteristic zero, there corresponds a generalized Heisenberg-Virasoro algebra L[G]. Given a total order of G compatible with its group structure, and any h, hI, c, cI, cLI ∈ , a Verma module [image omitted] over L[G] is defined. In this note, the irreducibility of Verma modules [image omitted] is completely determined.