| 李p—超代数的约化包络代数 |
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| 引用本文： | 朱英浩. 李p—超代数的约化包络代数[J]. 复旦学报(自然科学版), 1997, 36(6): 700-706 |
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| 作者姓名： | 朱英浩 |
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| 作者单位： | 复旦大学教学研究所!上海200433 |
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| 摘 要： | 证明了有限维李－ｐ超代数的约化包络代数是一个Ｆｒｏｂｅｎｉｕｓ代数，然后研究了李ｐ－超代数的某类约化包络代数满足多基式恒等元的充要条件。
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| 关 键 词： | 李p－超代数 约化包络代数 Frobeius代数 |
The reduced enveloping algebras of modular Lie superalgebras |
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| Zhu Yinghao. The reduced enveloping algebras of modular Lie superalgebras[J]. Journal of Fudan University(Natural Science), 1997, 36(6): 700-706 |
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| Authors: | Zhu Yinghao |
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| Affiliation: | Institute of Mathematics |
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| Abstract: | In this paper, it is proved that the reduced enveloping algebra of a finite dimensional Lie psuperalgebra is a Frobenius algebra and a necessary and sufficient condition for the reduced enveloping algebra being a super symmetric Frobenius algebra is also obtained. For a special class of the reduced enveloping algebra of a Lie p-superalgebra, a necessary and sufficient conditi0n for it to satisfy a nontrivial polynomial identity are given. |
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| Keywords: | Lie p-superalgebra reduced enveloping algebra Frobenius algebra PI-algebra |
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