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Results tagged with algebraic-groups
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user 6923
Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.
2
votes
Symplectic Steinberg group
There is an excellent survey paper: Linear Algebraic Groups and K-theory http://users.ictp.it/~pub_off/lectures/lns023/Rehmann/Rehmann.pdf by Ulf Rehmann. It seems that Matsumoto paper concerns symple …
- 331
5
votes
theorem of Borel and Tits
There is also a model theoretic proof of a simple version of Borel-Tits on page 90 of "Stable Groups", by Bruno Poizat (Mathematical Surveys and Monographs, 87. American Mathematical Society, Providen …
- 331
3
votes
4
answers
2k
views
Simplicity of (complex) orthogonal groups
I need a reference for the proof that the complex orthogonal group
$SO_{2n+1}($ℂ$) = \{A\in SL_{2n+1}($ℂ$): A^TA = Id\}$ is simple in a group theoretical sense (if it is true).
How about the simplici …
- 2,178