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- W177676178 abstract "Let $F$ be a field of characteristic $neq 2$. Let $G$ be an algebraic group defined over $F$. An element $tin G(F)$ is called {bf real} if there exists $sin G(F)$ such that $sts^{-1}=t^{-1}$. A semisimple element $t$ in $GL_n(F), SL_n(F), O(q), SO(q), Sp(2n)$ and the groups of type $G_2$ over $F$ is real if and only if $t=tau_1tau_2$ where $tau_1^2=pm 1=tau_2^2$ (ref. cite{st1,st2}). In this paper we extend this result to the semisimple elements in $Spin$ groups when $dim(V)equiv 0,1,2 imod 4$." @default.
- W177676178 created "2016-06-24" @default.
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- W177676178 date "2008-04-08" @default.
- W177676178 modified "2023-09-27" @default.
- W177676178 title "Real Elements in Spin Groups" @default.
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