Jordan algebras; Lie algebras and groups; homogeneous symmetric, periodic and parabolic spaces; representations of groups.
Subject:
The classification of real quasisimple associative algebras and quasisimple Jordan algebras is made. The connection of periodic spaces with parabolic spaces and Sabinin trisymmetric spases is investigated. Are determined generalized trisymmetric spaces. Together with V. P. Lexin the vector version of the Matsuo–Cherednik equation for system of roots type $G_2$ is found.
Biography
Graduated from Faculty of Physics and Mathematics of Kolomna Pedagogical Institute in 1968 Ph. D. thesis was defended in 1972. A list of my works contains more than 40 titles.
Main publications:
B. A. Rosenfeld, M. P. Zamakhovsky. Homogeneous k-symmetric spaces of interior type with simple real fundamental groups and their connection with parabolic spaces // Beograd, Publications de l'Institut mathematique, 1996, 60(74), 121–136.
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
1995
2.
M. P. Zamakhovskii, V. P. Leksin, “Vector version of the Matsuo–Cherednik equation for the root system $G_ 2$”, Mat. Zametki, 58:3 (1995), 456–460; Math. Notes, 58:3 (1995), 992–996
B. A. Rozenfel'd, M. P. Zamakhovskii, T. A. Timoshenko, “Parabolic spaces”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 26 (1988), 125–160; J. Soviet Math., 49:3 (1990), 1014–1034
B. A. Rozenfel'd, M. P. Zamakhovskii, “Simple and quasisimple Jordan algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 8, 111–121
1969
6.
B. A. Rozenfel'd, M. P. Zamakhovskii, T. G. Orlovskaya, I. N. Semenova, “Quasisimple algebras, quasimatrices and spin representations of quasinoneuclidean motions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 4, 62–73
2007
7.
M. P. Zamakhovskii, “Борис Абрамович Розенфельд (к 90-летию со дня рождения)”, Mat. Pros., Ser. 3, 11 (2007), 15–20
1976
8.
B. A. Rozenfel'd, M. P. Zamakhovskii, “Letter to the editors”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 2, 123
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