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Special identities for Bol algebras
(ELSEVIER SCIENCE INCNEW YORK, 2012)
Bol algebras appear as the tangent algebra of Bol loops. A (left) Bol algebra is a vector space equipped with a binary operation [a, b] and a ternary operation {a, b, c} that satisfy five defining identities. If A is a ...
From almost (para)-complex structures to affine structures on Lie groups
(Springer, 2018-01)
Let G= H⋉ K denote a semidirect product Lie group with Lie algebra g= h⊕ k, where k is an ideal and h is a subalgebra of the same dimension as k. There exist some natural split isomorphisms S with S2= ± Id on g: given any ...
A Brief Foundation of the Left-Symmetric Dialgebras
(Centro de Investigación en Matemáticas AC, 2011)
REPRESENTATIONS OF RANK 3 ALGEBRAS
(TAYLOR & FRANCIS INC, 2006)
The class of rank 3 algebras includes the Jordan algebra of a symmetric bilinear form, the trace zero elements of a Jordan algebra of degree 3, pseudo-composition algebras, certain algebras that arise in the study of Riccati ...
A-identities for the Grassmann algebra: The conjecture of Henke and Regev
(Amer Mathematical SocProvidenceEUA, 2008)
Hopf braces and Yang-Baxter operators
(American Mathematical Society, 2017-01)
This paper introduces Hopf braces, a new algebraic structure related to the Yang–Baxter equation, which include Rump’s braces and their non-commutative generalizations as particular cases. Several results of classical ...
Geometry of unitary orbits of pinching operators
(Academic Press Inc Elsevier Science, 2013-06)
Let I I be a symmetrically-normed ideal of the space of bounded operators acting on a Hilbert space H H . Let View the MathML source {pi}w1 (1≤w≤∞) (1≤w≤∞) be a family of mutually orthogonal projections on H H . The ...
Dendriform algebras and Rota-baxter operators revisited in several directions
(Centro de Investigación en Matemáticas AC, 2013)
S-Coherent measures pairs and Orthogonal polynomials with respect to Sobolev products. Applications
(2019-08-25)
In this dissertation, the concept of s-coherence, or symmetric $(1,1)$-coherence, of pairs of quasi-definite linear functionals, and the polynomials orthogonal with respect to certain Sobolev inner product type play a ...