Search results for " Jordan"

Inmersiones de superficies en Rn+2

2019

El objetivo principal de esta tesis es caracterizar, a través de relaciones entre sus invariantes, propiedades geométricas de superficies inmersas en R^{n+2}. Los invariantes de una superficie serán conceptos que sólo dependen del punto sobre la superficie. De manera que si consideramos una condición geométrica que sólo dependa del punto sobre la superficie, deberá haber una condición en términos de sus invariantes. En el estudio clásico de superficies en el espacio euclídeo de tres dimensiones, se definían los invariantes escalares de la curvatura de Gauss y la curvatura media. Se obtenía que ambos invariantes determinaban el invariante geométrico de las curvaturas principales, esto es, el…

A note on cocharacter sequence of Jordan upper triangular matrix algebra

2016

Let UJn(F) be the Jordan algebra of n × n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ2(F) and UJ3(F). In particular, the goal is twofold. On one hand, we complete the description of G-graded polynomial identities of UJ2(F), where G is a finite abelian group. On the other hand, we compute the Gelfand–Kirillov dimension of the relatively free algebra of UJ2(F) and we give a bound for the Gelfand–Kirillov dimension of the relatively free algebra of UJ3(F).

Nei luoghi di confine. Architettura e progetto in Giordania / In border places. Architecture and project in Jordan

2015

Alcuni luoghi possiedono una ricchezza specifica, una sorta di privilegio. Contengono, infatti, fessure impreviste, varchi nascosti che si celano dentro episodi di riconosciuta bellezza, preziose soglie d’accesso ai significati metafisici e metastorici della forma. Così il deserto di Giordania è metafora dell’attraversamento che può farci distinguere le condizioni estetiche più radicali dell’abitare. Le città, disperse e lentamente germogliate nel deserto, sono baluardi di malinconica speranza posti a rimarcare la supremazia dell’artificio sul destino naturale dei luoghi. Le architetture, soprattutto quelle inscritte nelle strutture archeologiche di Petra e di Jerash, permettono ancora oggi…

Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form

2013

Let J(n) be the Jordan algebra of a degenerate symmetric bilinear form. In the first section we classify all possible G-gradings on J(n) where G is any group, while in the second part we restrict our attention to a degenerate symmetric bilinear form of rank n - 1, where n is the dimension of the vector space V defining J(n). We prove that in this case the algebra J(n) is PI-equivalent to the Jordan algebra of a nondegenerate bilinear form.

Un nouvel invariant des algèbres de Lie et des super-algèbres de Lie quadratiques

2011

In this thesis, we defind a new invariant of quadratic Lie algebras and quadratic Lie superalgebras and give a complete study and classification of singular quadratic Lie algebras and singular quadratic Lie superalgebras, i.e. those for which the invariant does not vanish. The classification is related to adjoint orbits of Lie algebras o(m) and sp(2n). Also, we give an isomorphic characterization of 2-step nilpotent quadratic Lie algebras and quasi-singular quadratic Lie superalgebras for the purpose of completeness. We study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra and 2-step nilpotent pseudo-Euclidean Jordan al…

Two new species of Lygaeidae from the Middle East

2007

Lattices of Jordan algebras

2010

AbstractCommutative Jordan algebras play a central part in orthogonal models. The generations of these algebras is studied and applied in deriving lattices of such algebras. These lattices constitute the natural framework for deriving new orthogonal models through factor aggregation and disaggregation.

Lie, Jordan and proper codimensions of associative algebras

2008

Earliest Evidence for Social Endogamy in the 9,000-Year-Old-Population of Basta, Jordan

2013

The transition from mobile to sedentary life was one of the greatest social challenges of the human past. Yet little is known about the impact of this fundamental change on social interactions amongst early Neolithic communities, which are best recorded in the Near East. The importance of social processes associated with these economic and ecological changes has long been underestimated. However, ethnographic observations demonstrate that generalized reciprocity – such as open access to resources and land – had to be reduced to a circumscribed group before regular farming and herding could be successfully established. Our aim was thus to investigate the role of familial relationships as one…

Invariant Jordan curves of Sierpinski carpet rational maps

2015

In this paper, we prove that if $R\colon\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ is a postcritically finite rational map with Julia set homeomorphic to the Sierpi\'nski carpet, then there is an integer $n_0$, such that, for any $n\ge n_0$, there exists an $R^n$-invariant Jordan curve $\Gamma$ containing the postcritical set of $R$.