Abstract Let denote the group algebra of the group G over the field with Given both a homomorphism and a group involution an oriented involution of is defined by In this article, we determine the conditions under which the group algebra is normal, that is, conditions under which satisfies the -identity We prove that is normal if and only if the set of symmetric elements under is commutative.

中文翻译：

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正规群代数

摘要 让表示域上群 G 的群代数 给定同态和群对合，有向对合的定义为 在本文中，我们确定群代数正规的条件，即在满足 -identity 我们证明当且仅当 下的对称元素集是可交换的。