Results 11 to 20 of about 8,728,657 (238)
On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]
, 2004 The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Bowman, Kevin +2 more
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Braided Lie bialgebras associated to Kac-Moody algebras [PDF]
, 2008 Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac-
Grabowski, JE, Grabowski, Jan
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Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]
, 2008 This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
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Levels and sublevels of composition algebras over p-adic function fields [PDF]
, 2008 In [O'S], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields.
Van Geel, Jan +3 more
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More on the Schur group of a commutative ring
International Journal of Mathematics and Mathematical Sciences, 1985 The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphic image of a group ring RG for some finite group G.
R. A. Mollin
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Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs
Journal of High Energy Physics, 2019 We examine rectangular W-algebras with so(M) or sp(2M) symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We compute the central charges of the algebras and the levels of so(M) or sp(2M)
Thomas Creutzig +2 more
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Embedding orders into central simple algebras [PDF]
Journal de théorie des nombres de Bordeaux, 2012 The question of embedding fields into central simple algebras B over a number field K was the realm of class field theory.
Linowitz, Benjamin, Shemanske, Thomas R.
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Higher Derivations and Central Simple Algebras [PDF]
Nagoya Mathematical Journal, 1968 Let K be a commutative ring, A a K-algebra, and B a K-subalgebra of A. The object of this paper is to prove some results on higher derivations (in the sense of Jacobson [4]) of B into A. In § 1 we introduce a notion of equivalence among higher derivations.
Roy, A., Sridharan, R.
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پژوهشهای ریاضی, 2021 Introduction Representation as well as central extension are two of the most important concepts in the theory of Lie (super)algebras. Apart from the interest of mathematicians, the attention of physicist are also drawn to these two subjects because of ...
Malihe Yousofzadeh
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