Popov, V. L.; Vinberg, Eh. B. Invariant theory. (English. Russian original) Zbl 0789.14008 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. Cited in 4 ReviewsCited in 57 Documents 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; PoincarĂ© series; categorical quotients; Russian conjecture Citations:Zbl 0147.39304; Zbl 0504.14008; Zbl 0020.20601; Zbl 0735.14010 PDF BibTeX XML Cite \textit{V. L. Popov} and \textit{Eh. B. Vinberg}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya None, 137--309 (1989; Zbl 0789.14008); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 55, 137--309 (1989) OpenURL