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Chevalley’s theorem for complex crystallographic Coxeter groups. (English. Russian original) Zbl 0458.32017

Funct. Anal. Appl. 12, 308-310 (1979); translation from Funkts. Anal. Prilozh. 12, No. 4, 79-80 (1978).

MSC:

32M10 Homogeneous complex manifolds
32M05 Complex Lie groups, group actions on complex spaces
20H15 Other geometric groups, including crystallographic groups
Full Text: DOI

References:

[1] C. Chevalley, Am. J. Math.,77, No. 4, 778-782 (1955). · Zbl 0065.26103 · doi:10.2307/2372597
[2] I. G. Macdonald, Invent. Math.,15, No. 2, 91-143 (1972). · Zbl 0244.17005 · doi:10.1007/BF01418931
[3] I. N. Bernshtein and O. V. Shvartsman, Article Dep. 4E122 (Ref. Zh., Fiz. Tverd. Tela, 18 E, No. 4 (1977)).
[4] E. Looijenga, Invent. Math.,38, No. 1, 17-32 (1976). · Zbl 0358.17016 · doi:10.1007/BF01390167
[5] C. I. Igusa, Theta-functions, Springer-Verlag, Berlin (1972).
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