TY - JOUR
T1 - The graded modules for the graded contact cartan algebras
AU - Hu, Naihong
PY - 1994/1
Y1 - 1994/1
N2 - In this paper we investigate the graded modules for the graded contact Cartan algebras K(n, m) and K(n). For a canonical basis of uPTG module, we derive a commutator formula and then realize Shen’s mixed product module in uPTG module V(n, m) for 0 H(n, m). Considering the Poisson subalgebra [formula omitted] as 1-dimensional central extension of [formula omitted]([formula omitted], [formula omitted]), we describe the irreducible PTG modules for K(n, m) and K(n), respectively. In particular, for arbitrary K(n,m), we recover Holmes’ work for K(n,1).
AB - In this paper we investigate the graded modules for the graded contact Cartan algebras K(n, m) and K(n). For a canonical basis of uPTG module, we derive a commutator formula and then realize Shen’s mixed product module in uPTG module V(n, m) for 0 H(n, m). Considering the Poisson subalgebra [formula omitted] as 1-dimensional central extension of [formula omitted]([formula omitted], [formula omitted]), we describe the irreducible PTG modules for K(n, m) and K(n), respectively. In particular, for arbitrary K(n,m), we recover Holmes’ work for K(n,1).
UR - https://www.scopus.com/pages/publications/21344483363
U2 - 10.1080/00927879408825082
DO - 10.1080/00927879408825082
M3 - 文章
AN - SCOPUS:21344483363
SN - 0092-7872
VL - 22
SP - 4475
EP - 4497
JO - Communications in Algebra
JF - Communications in Algebra
IS - 11
ER -