北京大学学报(自然科学版)2001,Vol.37Issue(3):294-296,3.
群代数的自正交理想
Self-orthogonal Ideal in Group Algebras
摘要
Abstract
It is proved that every nonzero ideal in a finite-dimensional semi-simple algebra over a field is generated by an unique central idempotent. Applying this result it is proved that for arbitrary finite group G and arbitrary field F which characteristic does not divide |G|, the only ideal in the group algebra F[G] that is both self-orthogonal and reversible is the zero ideal.关键词
半单代数/群代数/自正交理想/可逆理想分类
数理科学引用本文复制引用
丘维声..群代数的自正交理想[J].北京大学学报(自然科学版),2001,37(3):294-296,3.基金项目
国家自然科学基金资助项目(19831070) (19831070)