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Mostrando ítems 41-50 de 321
On representations on right nilalgebras of right nilindex four
(2005)
We shall study representations of algebras over fields of characteristic ≠ 2, 3 of dimension 4 which satisfy the identities xy - yx = 0, and ((xx)x)x = 0. In these algebras the multiplication operator was shown to be ...
Invariants of complex structures on nilmanifolds
(2015)
Let (N, J) be a simply connected 2n-dimensional nilpotent Lie group endowed with an invariant complex structure. We define a left invariant Riemannian metric on N compatible with J to be minimal, if it minimizes the norm ...
Lie bialgebra structures on 2-step nilpotent graph algebras
(Elsevier, 2018)
Abstract: We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent ...
On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of N-4
(2018)
In this work, we determine the largest alpha for which the nilpotent group of four-by-four triangular matrices with integer coefficients and the value one in the diagonal embeds into the group of C1+alpha diffeomorphisms ...
Quantization on Nilpotent Lie Groups
The purpose of this monograph is to give an exposition of the global quantization
of operators on nilpotent homogeneous Lie groups. We also present the background
analysis on homogeneous and graded nilpotent Lie groups. ...
Classification of Nilsoliton metrics in dimension seven
(Elsevier Science, 2014-12)
The aim of this paper is to classify Ricci soliton metrics on 7-dimensional nilpotent Lie groups. It can be considered as a continuation of our paper in Fernández Culma (2012). To this end, we use the classification of ...
The Nash–Moser theorem of Hamilton and rigidity of finite dimensional nilpotent Lie algebras
(Elsevier Science, 2017-09)
We apply the Nash–Moser theorem for exact sequences of R. Hamilton to the context of deformations of Lie algebras and we discuss some aspects of the scope of this theorem in connection with the polynomial ideal associated ...
Lie properties of crossed products
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
Let F-sigma(lambda)vertical bar G vertical bar be a crossed product of a group G and the field F. We study the Lie properties of F-sigma(lambda)vertical bar G vertical bar in order to obtain a characterization of those ...
Solvability of commutative right-nilalgebras satisfying (b(aa))a = b((aa)a)
(Universidad Catolica del Norte, 2010)
We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Ourmainresultisthatthese algebras are solvable and not necessarily nilpotent. Our results require characteristic 6≠2, 3, 5.
Representations on train algebras of rank 3
(2005)
We give a characterization of the representations on train algebras of rank 3. We prove that the subalgebra of the algebra of endomorphisms of a module generated by the representation of the nil ideal of the algebra is ...