AFFINE MODULAR LIE-ALGEBRAS

被引:3
|
作者
BILLIG, YV
机构
来源
MATHEMATICS OF THE USSR-SBORNIK | 1991年 / 70卷 / 02期
关键词
D O I
10.1070/SM1991v070n02ABEH001387
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper is devoted to the construction of affine Kac-Moody algebras via defining relations arising from an integral affine Cartan matrix, in the case where the ground field has positive characteristic p > 7. Explicit constructions are given for algebras obtained in this way; in distinction with the zero characteristic case they have infinite-dimensional center. A theorem on the universality of this central extension is proved, and a series of finite-dimensional factors of affine modular algebras over the ideals having trivial intersection with Cartan's subalgebra is constructed. Moreover, a construction for the PI-envelopes of affine Kac-Moody algebras is given.
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页码:573 / 586
页数:14
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