Results 121 to 130 of about 1,969,963 (254)
Some properties of Camina and $n$-Baer Lie algebras [PDF]
Journal of Mahani Mathematical ResearchLet $I$ be a non-zero proper ideal of a Lie algebra $L$. Then $(L, I)$ is called a Camina pair if $I \subseteq [x,L]$, for all $x \in L\setminus I$. Also, $L$ is called a Camina Lie algebra if $(L, L^2)$ is a Camina pair. We first give some properties of
Maryam Ghezelsoflo +3 more
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Orbits in a real reductive Lie algebra
, 1972 The purpose of this paper is to give a classification of the orbits in a real reductive Lie algebra under the adjoint action of a corresponding connected Lie group.
L. Rothschild
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The Jordan algebras of a Lie algebra
Journal of Algebra, 2007 AbstractWe attach a Jordan algebra Lx to any ad-nilpotent element x of index of nilpotence at most 3 in a Lie algebra L. This Jordan algebra has a behavior similar to that of the local algebra of a Jordan system at an element. Thus, Lx inherits nice properties from L and keeps relevant information about the element x.
Esther García +2 more
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The $u$-algebra of a restricted Lie algebra is Frobenius
, 1964 Let C be a field of characteristic p^O, L a restricted finite dimensional Lie algebra over C and m(L) its restricted enveloping algebra or M-algebra [3, p. 192].
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On the three-dimensional cohomology group of Lie algebras. [PDF]
, 1953 Mitsuya Mori
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Reduced contragredient Lie algebras and PC Lie algebras
Osaka Journal of Mathematics, 2016 The first aim of this paper is to show that any finite-dimensional reductive Lie algebra and its finite-dimensional completely reducible representation can be embedded into some PC Lie algebra. The second aim is to find the structure of a PC Lie algebra.
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Characteristic ideals and the structure of Lie algebras [PDF]
, 1957 George B. Seligman
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AIMS MathematicsAn interval-valued fuzziness structure is an effective approach addressing ambiguity and for expressing people's hesitation in everyday situations. An $ \mathcal{N} $-structure is a novel technique for solving practical problems.
Anas Al-Masarwah +3 more
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