Related papers: Magic Squares of Lie Algebras
This paper has been subsumed by math.AG/0502240
We study an extension algebra $A$ from two given $3$-Lie algebras $M$ and $H$, and discuss the extensibility of a pair of derivations, one from the derivation algebra of $M$ and the other from that of $H$, to a derivation of $A$. In…
Part I. Some Facts From p-Adic Analysis. Part II. Tables of Integrals.
We define a magic square to be a square matrix whose entries are nonnegative integers and whose rows, columns, and main diagonals sum up to the same number. We prove structural results for the number of such squares as a function of the…
This is a short survey on the recent developments made in the integration theory with effective formulas of algebraic structures stronger or higher than Lie algebras.
We present in this paper all the details for a complete description of the Lie algebra a in the split case at any characteristic. We finish with the determination of the expression of a generic element of this algebra. First of all is…
Paper withdrawn, see math-ph/0505072
In this paper we study to alternative rings the almost additivity of the Lie multiplicative and Lie triple derivable maps.
Using computational algebraic geometry techniques and Hilbert bases of polyhedral cones we derive explicit formulas and generating functions for the number of magic squares and magic cubes.
This paper has been withdrawn, as it has been merged into arXiv:1009.6144
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
Long ago, in math.AG/0112004, we pledged more details on the algebraic version of Chen-Ruan's math.AG/0103156. This is it.
This paper has been withdrawn by the author(s). Please see arXiv:0711.3910 for revision.
Withdrawn by arXiv administration because the text and equations were plagiarized from chapter 11 of the BaBar Physics Book http://www.slac.stanford.edu/pubs/slacreports/slac-r-504.html See also hep-ph/0304045
A well-known result on Lie Theory states that every finite-dimensional complex solvable Lie algebra can be represented as a matrix Lie algebra, with upper-triangular square matrices as elements. However, this result does not specify which…
We investigate the group gradings on the algebra of upper triangular matrices over an arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the same authors. We provide streamlined proofs, and present a…
This paper has been withdrawn by the authors due to numerical problems to get viable results.
This article presents a new development of magic squares with a simple set up.
This paper has been withdrawn.
This paper has been withdrawn.