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Izvestiya: Mathematics, 1997, Volume 61, Issue 6, Pages 1215–1229
DOI: https://doi.org/10.1070/im1997v061n06ABEH000170 (Mi im170) 		 
Periodic and trisymmetric spaces of interior type with simple groups of motions

M. P. Zamakhovskii

Kolomna State Pedagogical Institute
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DOI: https://doi.org/10.1070/im1997v061n06ABEH000170
Abstract: In this paper it is shown that every periodic space of interior type with a real simple group of motions is completely determined by the set of simple roots of the reduced and irreducible root system. A relationship is established between periodic spaces with flag manifolds and Sabinin trisymmetric spaces. A certain generalization of trisymmetric spaces is considered.
Received: 09.01.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 6, Pages 103–118
DOI: https://doi.org/10.4213/im170
Bibliographic databases:
MSC: 53A40, 53C15, 53C35
Language: English
Original paper language: Russian
Citation: M. P. Zamakhovskii, “Periodic and trisymmetric spaces of interior type with simple groups of motions”, Izv. RAN. Ser. Mat., 61:6 (1997), 103–118; Izv. Math., 61:6 (1997), 1215–1229
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    References:67
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