Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
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Speaker |
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Dr. Anupam Kumar Singh |
| Affiliation | : | TIFR, Mumbai |
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Subject Area |
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Mathematics
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Venue |
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Lecture Hall - II, Dept of Mathematics
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Time |
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4.00 pm
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Date |
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February 27, 2007 (Tuesday) |
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Title |
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Real vs. Strongly Real Elements in Algebraic Groups |
| Abstract | : | Let $k$ be a field of characteristic not 2 and $G$ be an algebraic group defined over $k$. An element $t$ in $G(k)$ is called real if there exists $g\in G(k)$ such that $gtg^{-1}=t^{-1}$. An element $t\in G(k)$ is called strongly real if $t=\tau_1\tau_2$ where $\tau_i\in G(k)$ and $\tau_i^2=1$. We discuss when a semisimple real element is strongly real in $G(k)$. We investigate this question for classical groups and the groups of type $G_2$ in detail. |