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Foundations of Lie theory. (English. Russian original) Zbl 0781.22003

Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Encycl. Math. Sci. 20, 1-94 (1993); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 20, 5-101 (1988).
See the review in Zbl 0656.22002.
For the entire collection see [Zbl 0777.00023].

MSC:

22Exx Lie groups
17B35 Universal enveloping (super)algebras
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
22-02 Research exposition (monographs, survey articles) pertaining to topological groups
17B45 Lie algebras of linear algebraic groups
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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