Invariant theory. (English. Russian original) Zbl 0789.14008

Popov, V. L.; Vinberg, Eh. B.

Algebraic geometry. IV: Linear algebraic groups, invariant theory, Encycl. Math. Sci. 55, 123-278 (1994); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 55, 137-309 (1989).

See the review in Zbl 0735.14010.

MSC:

14L24	Geometric invariant theory
14L30	Group actions on varieties or schemes (quotients)
14M17	Homogeneous spaces and generalizations
14-03	History of algebraic geometry
14-02	Research exposition (monographs, survey articles) pertaining to algebraic geometry
20G05	Representation theory for linear algebraic groups

Keywords:

Bibliography; geometric invariant theory; rationality of the field of invariants; constructive invariant theory; Hilbert’s 14th problem; Poincaré series; categorical quotients; Russian conjecture