Bernstein, I. N.; Shvartsman, O. V. 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 15 Documents MSC: 32M10 Homogeneous complex manifolds 32M05 Complex Lie groups, group actions on complex spaces 20H15 Other geometric groups, including crystallographic groups Keywords:quotient of crystallographic Coxeter groups × Cite Format Result Cite Review PDF 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). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.