Displaying similar documents to “Graphs associated with nilpotent Lie algebras of maximal rank.”

The Magic Square and symmetric Compositions.

Alberto Elduque (2004)

Revista Matemática Iberoamericana

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The new construction given by Barton and Sudbery of the Freudenthal-Tits magic square, which includes the exceptional classical simple Lie algebras, will be interpreted and extended by using a pair of symmetric composition algebras, instead of the standard unital composition algebras.

The singularity of orbital measures on compact Lie groups.

Kathryn E. Hare, Wai Ling Yee (2004)

Revista Matemática Iberoamericana

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We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.

Nonassociative algebras: some applications.

Santos González, Consuelo Martínez (2003)

Revista Matemática Iberoamericana

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Nonassociative algebras can be applied, either directly or using their particular methods, to many other branches of Mathematics and other Sciences. Here emphasis will be given to two concrete applications of nonassociative algebras. In the first one, an application to group theory in the line of the Restricted Burnside Problem will be considered. The second one opens a door to some applications of non-associative algebras to Error correcting Codes and Cryptography.

On coincidence of p-module of a family of curves and p-capacity on the Carnot group.

Irina Markina (2003)

Revista Matemática Iberoamericana

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The notion of the extremal length and the module of families of curves has been studied extensively and has given rise to a lot of applications to complex analysis and the potential theory. In particular, the coincidence of the p-module and the p-capacity plays an mportant role. We consider this problem on the Carnot group. The Carnot group G is a simply connected nilpotent Lie group equipped vith an appropriate family of dilations. Let omega be a bounded domain on G and Ko, K1 be disjoint...