Results 11 to 20 of about 579,929 (244)
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 upper modular subalgebras of a Lie algebra. [PDF]
, 2004 This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. We give some necessary and some sufficient conditions for a subalgebra to be upper modular.
Bowman, Kevin +2 more
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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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, 2014 In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid +3 more
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Foliations on projective spaces associated to the affine Lie algebra [PDF]
Publicacions Matemàtiques, 2020 In this work, we construct some irreducible components of the space of two-dimensional holomorphic foliations on $\mathbb{P}^n$ associated to some algebraic representations of the affine Lie algebra $\mathfrak{aff}(\mathbb{C})$. We give a description of the generalized Kupka components, obtaining a classification of them in terms of the degree of the ...
openaire +6 more sources
Heisenberg-Lie commutation relations in Banach algebras. [PDF]
, 2009 Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob +1 more
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Ternary SU(3)-group symmetry and its possible applications in hadron-quark substructure. Towards a new spinor-fermion structure [PDF]
EPJ Web of Conferences, 2019 The questions on the existence of the three color quark symmetry and three quark-lepton generations could have the origin associated with the new exotic symmetries outside the Cartan-Killing-Lie algebras/groups.
Maslikov Alexander, Volkov Guennady
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GRADED UNIPOTENT GROUPS AND GROSSHANS THEORY
Forum of Mathematics, Sigma, 2017 Let $U$ be a unipotent group which is graded in the sense that it has an extension $H$
GERGELY BÉRCZI, FRANCES KIRWAN
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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
doaj
On functors associated to a simple root [PDF]
, 2007 Associated to a simple root of a finite-dimensional complex semisimple Lie algebra, there are several endofunctors (defined by Arkhipov, Enright, Frenkel, Irving, Jantzen, Joseph, Mathieu, Vogan and Zuckerman) on the BGG category O.
Mazorchuk, V. +6 more
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