RELATIVE COMPLETE REDUCIBILITY AND NORMALIZED SUBGROUPS
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DOI: 10.1017/fms.2020.25
Abstract: We study a relative variant of Serre’s notion of $G$-complete reducibility for a reductive algebraic group $G$. We let $K$ be a reductive subgroup of $G$, and consider subgroups of $G$ that normalize the identity… read more here.
Keywords: complete reducibility; reducibility; normalized subgroups; reducibility normalized ... See more keywords
Complete reducibility of gyrogroup representations
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DOI: 10.1080/00927872.2019.1662916
Abstract: Abstract In this article, we show that any finite gyrogroup can be represented on a space of complex-valued functions. In particular, we prove that any linear representation of a finite gyrogroup on a finite-dimensional complex… read more here.
Keywords: complete reducibility; gyrogroup; gyrogroup representations; finite gyrogroup ... See more keywords