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Glossary of semisimple groups : ウィキペディア英語版
Glossary of semisimple groups

This is a glossary for the terminology applied in the mathematical theories of semisimple Lie groups. It also covers terms related to their Lie algebras, their representation theory, and various geometric, algebraic and combinatorial structures that occur in connection with the development of what is a central theory of contemporary mathematics.
==A==

* Adjoint representation
The adjoint representation of any Lie group is its action on its Lie algebra, derived from the conjugation action of the group on itself.
* Affine Lie algebra
An affine Lie algebra is a particular type of Kac–Moody algebra.
* Algebraic group

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