|
|||||
|
|
Minimal prime ideals in enveloping algebras of Lie superalgebras |
|
| Authors: | Ellen Kirkman James Kuzmanovich |
| Affiliation: | Department of Mathematics Wake Forest University Winston-Salem, North Carolina 27109 ; Department of Mathematics Wake Forest University Winston-Salem, North Carolina 27109 |
| Abstract: | Let  be a finite dimensional Lie superalgebra over a field of characteristic zero. Let  be the enveloping algebra of  . We show that when  , then  is not semiprime, but it has a unique minimal prime ideal; it follows then that when  is classically simple,  has a unique minimal prime ideal. We further show that when  is a finite dimensional nilpotent Lie superalgebra, then  has a unique minimal prime ideal. |
| Keywords: | Enveloping algebra Lie superalgebra minimal prime ideals |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |