Geometry, Algebra and their applications | Non-classical Howe duality for $\mathbb{Z}

May 20, 2026 5 p.m. CEST MOX Seminar room - 6th floor + Zoom online

Paula Cerejeiras Universidade de Aveiro, Portugal

Non-classical Howe duality for $\mathbb{Z}_3$-graded Clifford algebras

Keywords

Howe duality
Clifford algebra

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.