Real Elements in Spin Groups
| dc.creator | Singh, Anupam | |
| dc.date | 2008-04-08 | |
| dc.date.accessioned | 2026-07-07T09:31:01Z | |
| dc.date.available | 2026-07-07T09:31:01Z | |
| dc.description | Let $F$ be a field of characteristic $\neq 2$. Let $G$ be an algebraic group defined over $F$. An element $t\in G(F)$ is called {\bf real} if there exists $s\in G(F)$ 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 $t=τ_1τ_2$ where $τ_1^2=\pm 1=τ_2^2$ (ref. \cite{st1,st2}). In this paper we extend this result to the semisimple elements in $Spin$ groups when $\dim(V)\equiv 0,1,2 \imod 4$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0804.1235 | |
| dc.identifier | http://arxiv.org/abs/0804.1235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158318 | |
| dc.subject | Group Theory | |
| dc.subject | 20G15, 11E88 | |
| dc.title | Real Elements in Spin Groups | |
| dc.type | text |