青岛大学学报（自然科学版）2017，Vol.30Issue(2)：15-19,5.DOI:10.3969/j.issn.1006-1037.2017.05.04
有关超群表示的一些性质
Some Properties of the Super Representations
摘要
Abstract
A super linear representation of the super group G on a super space V is defined, and extended it to the group algebra C[G] to obtain a super module structure on V.An inner product operation 〈,〉 on the super space V is defined, and its property of invariance under the action of G is discussed.In the meantime, the Maschkes'' theorem and Schur''s lemma have been generalized to the super case.关键词
超群/超空间/超表示Key words
supergroup/superspace/super representation分类
数理科学引用本文复制引用
张玉琴,王宪栋..有关超群表示的一些性质[J].青岛大学学报（自然科学版）,2017,30(2):15-19,5.基金项目
国家自然科学基金(批准号:11472144)资助. （批准号:11472144）
