Equivariant compactifications of reductive groupsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The author studies a certain class of compactifications of reductive groups. More specifically, let $G$ be a connected reductive complex algebraic group, and consider a faithful projective representation $G:\bbfP(V)$. Then $G$ is contained in End$(V)$, and $X=øverline G\subset \bbfP(\textEnd(V))$ is a $G\times G$-equivariant projective compactification of $G$. The aim of this article is to study such compactifications from a geometric point of view. Some conditions are given for the compactification to be smooth or normal. Also, the orbit structure is studied.