20 Maggio, 2026
Sezione di Geometria, Algebra e loro applicazioni
Non-classical Howe duality for \(\mathbb Z_3\)-graded Clifford algebras
Paula Cerejeiras, Universidade de Aveiro
In presenza (aula seminari Mox sesto piano) e on-line (il link zoom verrà reso disponibile il giorno stesso del seminario)
Abstract
\(\mathbb Z_3\)-graded Clifford algebras were developed having in mind concrete applications in physics, such as quarks and hypersymmetry, or the N-body problem. In this talk we discuss the main ingredients for the study of Dirac operators in this setting: the Howe duality, the Fischer decomposition and the Cauchy-Kovalevskaya extension. By passing, we also will discuss -time permits - possible applications.