Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Draper, Cristina"'
Graded contractions of certain non-toral $\mathbb{Z}_2^3$-gradings on the simple Lie algebras $\mathfrak{so}(7,\mathbb C)$ and $\f{so}(8,\mathbb C)$ are classified up to two notions of equivalence. In particular, there arise two large families of Lie
Externí odkaz:
http://arxiv.org/abs/2409.18069
This work provides five explicit constructions of the exceptional Lie algebra $\mathfrak{e}_8$, based on its semisimple subalgebras of maximal rank. Each of these models is graded by an abelian group, namely, $\mathbb{Z}_4$, $\mathbb{Z}_5$, $\mathbb{
Externí odkaz:
http://arxiv.org/abs/2308.09052
Graded contractions of the fine $\mathbb{Z}_2^3$-grading on the complex exceptional Lie algebra $\mathfrak{g}_2$ are classified up to equivalence and up to strongly equivalence. In particular, a large family of 14-dimensional Lie algebras arise, most
Externí odkaz:
http://arxiv.org/abs/2307.05308
Autor:
Draper, Cristina, Palomo, Francisco J.
The first author defended her doctoral thesis Espacios homog\'eneos reductivos y \'algebras no asociativas in 2001, supervised by P. Benito and A. Elduque. This thesis contained the classification of the Lie-Yamaguti algebras with standard enveloping
Externí odkaz:
http://arxiv.org/abs/2211.06997
Autor:
Draper, Cristina, Meulewaeter, Jeroen
A classification up to automorphism of the inner ideals of the real finite-dimensional simple Lie algebras is given, jointly with precise descriptions in the case of the exceptional Lie algebras.
Comment: 34 pages
Comment: 34 pages
Externí odkaz:
http://arxiv.org/abs/2202.09351
Publikováno v:
In Journal of Algebra 15 November 2024 658:592-643
Autor:
Draper, Cristina, Elduque, Alberto
Publikováno v:
Anal. Math. Phys. 12 (2022), no. 3, Paper No. 69, 46 pp
The simple symplectic triple systems over the real numbers are classified up to isomorphism, and linear models of all of them are provided. Besides the split cases, one for each complex simple Lie algebra, there are two kinds of non-split real simple
Externí odkaz:
http://arxiv.org/abs/2107.05882
Autor:
Draper, Cristina
For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semi-Riemannian homogeneous manifold. It is proved that this
Externí odkaz:
http://arxiv.org/abs/1909.00128
Autor:
Draper, Cristina
Our aim is to support the choice of two remarkable connections with torsion in a 3-Sasakian manifold, proving that, in contrast to the Levi-Civita connection, the holonomy group in the homogeneous cases reduces to a proper subgroup of the special ort
Externí odkaz:
http://arxiv.org/abs/1903.07815
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