Special Vinberg cones and their application to Supergravity

Abstract: In the early 1960s, Vinberg gave a description of homogeneous convex cones as cones of Hermitian positive definite matrices in a matrix $T$-algebra $M_n$ of $(n\times n)$-matrices whose diagonal entries are just real numbers, but off-diagonal elements belong to different vector spaces. It turns out that rank 3 special Vinberg cones (corresponding to Clifford algebras) have important applications to Supergravity. No special background is required. The talk is based on joint works with V. Cortes; and with A. Marrani and A. Spiro.

Mathematics

Audience: researchers in the discipline

The Vinberg Lecture Series