On regular $G$-gradings
نویسندگان
چکیده
منابع مشابه
Some results on g-regular and g-normal spaces
In this paper, map theorem and topological sum theorem on g-regular (resp. g-normal) spaces are given respectively, and their properties are discussed. In addition, Urysohn’s Lemma on g-normal spaces is proved.
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The group gradings on the symmetric composition algebras over arbitrary fields are classified. Applications of this result to gradings on the exceptional simple Lie algebras are considered too.
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This is a matricial description of all the fine group gradings on the exceptional Lie algebra o(8, C). There are fourteen.
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The fine abelian group gradings on the simple classical Lie algebras (including D4) over algebraically closed fields of characteristic 0 are determined up to equivalence. This is achieved by assigning certain invariant to such gradings that involve central graded division algebras and suitable sesquilinear forms on free modules over them.
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We describe gradings by finite abelian groups on the associative algebras of infinite matrices with finitely many nonzero entries, over an algebraically closed field of characteristic zero.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2014
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2014-06200-4