Downloads

The following Mathematica packages can be freely downloaded, distributed and used. The author would acknowledge recognition of its applicability in any context.

To download a package on Tit's construction click: here

To download the package Zorn.m click : here

This package implements the product in Zorn matrix algebra, its norm and standard involution. It also creates a standard basis formed by two orthogonal idempotents whose sum is 1, three elements in one Peirce subspace and other three in the suplementary Peirce subspace. This package is related to the following one: g2

To download the package g2.m click : here

Computes the form of a general derivation of Zorn's Matrices algebra C. From here a basis of g2=Der(C) can be computed. It includes the bracket x.y-y.x of two elements x and y in the derivation algegra g2 of C. It computes a Cartan subalgebra of g2 as well as a generator in each root space. Finally it computes a maximal Torus in G2=Aut(C).

To download the package Albert.m click : here

This implements a "standard" basis in the Albert algebra A=H_3(C,*) where C is as in the above package and computes product, the quadratic U-operator and other features. It gives any element in A as a formal linear combination of elements in the standard basis (also its TeXForm). It gives also the coordinates of elements relative to the mentioned basis and calculates a maximal torus in the automorphism group F4 of Albert's algebra.

Descarga del package f4bis.m para Mathematica: here

It gives the general form of an element in the derivation algebra f4 of the Albert algebra A. We compute a maximal torus in aut(A) and the Weyl group W[[1]]....W[[1152]] of f4 and finds a system of elements in the normalizer of the maximal torus of aut(A) whose projections in the Weyl group is the set of elements W[[1]]......W[[1152]]. It finds a maximal torus in aut(f4) as well as a root system of f4.

Descarga del package General.m para Mathematica: here

This provides certain utilities the main being the computation of a basis from a generic element (with parameters) in any linear vector space .

Descarga del fichero WeylE6 para Mathematica: here

This implements the weyl group of e6 as a matrix group of 6x6 matrices.

To download the package SymmComp.m for Mathematica: click here

It contains some computations in the context of Symmetric Composition algebras suggested by Ottmar Loos.

To download the picture of the Málaga Marathon on Lie and Jordan algebras in a .PS file click here

To download the pdf of Navarone and Cold Blooded click here

To download the pdf file (updated by July 15th 2014) Universal_alg.pdf click here

To download the pdf file (updated by July 15th 2014) Wedderburn-Artin.pdf click here

To download a pdf with my CV (updated by April 2016) curcandidoAbril2016.pdf click here

To download a zip file with the slides of 2016's master subject T. de Representaciones tderep2016.zip click here

To download some auxiliary materials of 2016's master subject T. de Representaciones aux_mat.zip click here

Descarga FQ primero de bachillerato Trim. I click here

Descarga FQ primero de bachillerato Trim. II click here

Descarga FQ primero de bachillerato Trim. III click here

Descarga FQ primero de bachillerato Anexo click here

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