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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Algebraic structure of parastatistics is considered and it will be show that one of mixed parastatistics of Greenberg and Messian is related with Z_2xZ_2-graded orthosymplectic Lie superalgebras osp(1,2m|2n). It turns out that there exits a more general case of parastatictics which is associated with Z_2xZ_2-gradedorthosymplectic Lie superalgebras osp(2m_1+1,2m_2|2n_1,2n_2) and which includes (as degenerate cases) all known parastatistics of Green and Greenberg--Messian.