Results 11 to 20 of about 1,035 (266)
On the Projective Algebra of Randers Metrics of Constant Flag Curvature [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
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Projective completions of Jordan pairs. Part I: The generalized projective geometry of a Lie algebra
Journal of Algebra, 2003 A geometric realization of the projective completion of the Jordan pair corresponding to a three-graded Lie algebra is given which permits to develop a geometric structure theory of the projective completion. This will be used in Part II of this work to define a manifold structure on the projective completion (in arbitrary dimension and over quite ...
Bertram, Wolfgang, Neeb, Karl-Hermann
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Projective Modules and Blocks of Supersolvable Restricted Lie Algebras
Journal of Algebra, 1999 The author investigates the projective indecomposable modules for reduced universal enveloping algebras of finite-dimensional supersolvable restricted Lie algebras, thus generalizing or improving results in earlier papers [Arch. Math. 65, 495-500 (1995; Zbl 0853.17019) and J. Algebra 183, 396-419 (1996; Zbl 0859.17010)].
Feldvoss, Jörg
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Lie group extensions associated to projective modules of continuous inverse algebras [PDF]
, 2008 We call a unital locally convex algebra $A$ a continuous inverse algebra if its unit group $A^\times$ is open and inversion is a continuous map. For any smooth action of a, possibly infinite-dimensional, connected Lie group $G$ on a continuous inverse algebra $A$ by automorphisms and any finitely generated projective right $A$-module $E$, we construct ...
Neeb, Karl-Hermann, Karl-hermann Neeb
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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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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 ...
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Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]
, 2003 The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D. +5 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
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