Is there a isomorphism between a semi-simple linear algebraic group and product of simple linear algebraic groups？
2026-04-03 22:55:04.1775256904
Decomposition semi-simple linear algebraic groups
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We have the following result, see the lecture notes of Milne, page $5$, for characteristic zero:
COROLLARY $4.4$. An algebraic group is semisimple if and only if it is an almost direct product of almost-simple algebraic groups.