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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 215, Pages 3–17
DOI: https://doi.org/10.36535/0233-6723-2022-215-3-17 (Mi into1066) 		 
Special uniform Vinberg cones and their applications

D. V. Alekseevskiiab

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
b University of Hradec Králové
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DOI: https://doi.org/10.36535/0233-6723-2022-215-3-17
Abstract: In this paper, we present basic facts of Vinberg's theory of homogeneous convex cones, primarily the special Vinberg cones associated with Clifford modules, and their generalization. Applications of the cone theory to differential geometry, physics (including supergravity), information geometry, convex programming, and differential equations are briefly discussed.
Keywords: convex cone, Vinberg cone, Clifford module, differential geometry.
Document Type: Article
UDC: 512.5; 514.744
MSC: 13Jxx
Language: Russian
Citation: D. V. Alekseevskii, “Special uniform Vinberg cones and their applications”, Algebra, Geometry, and Combinatorics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 215, VINITI, Moscow, 2022, 3–17
Citation in format AMSBIB
\Bibitem{Ale22}
\by D.~V.~Alekseevskii
\paper Special uniform Vinberg cones and their applications
\inbook Algebra, Geometry, and Combinatorics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 215
\pages 3--17
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1066}
\crossref{https://doi.org/10.36535/0233-6723-2022-215-3-17}
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