Video URL

https://pirsa.org/10050037

Representations of Generalized Clifford Algebras

Coskun, E. (2010). Representations of Generalized Clifford Algebras. Perimeter Institute for Theoretical Physics. https://pirsa.org/10050037

Coskun, Emre. Representations of Generalized Clifford Algebras. Perimeter Institute for Theoretical Physics, May. 08, 2010, https://pirsa.org/10050037 

          @misc{ scivideos_PIRSA:10050037,
            doi = {10.48660/10050037},
            url = {https://pirsa.org/10050037},
            author = {Coskun, Emre},
            keywords = {},
            language = {en},
            title = {Representations of Generalized Clifford Algebras},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2010},
            month = {may},
            note = {PIRSA:10050037 see, \url{https://scivideos.org/pirsa/10050037}}
          }

Emre Coskun Western University

DOI 10.48660/10050037
Source Repository PIRSA
Collection
Talk Type Conference

Abstract

Clifford algebras arose in Dirac's work on the relativistic wave equation in quantum mechanics. Using the Clifford algebra associated to a quadratic form on a finite dimensional vector space, one can reduce the relativistic wave equation, a PDE of order two, to a system of linear PDEs. Similarly, one can use matrix representations of generalized (i.e. higher degree) Clifford algebras to reduce a PDE of higher degree. These generalized Clifford algebras have been the subject of ongoing research since late 1980s. In this talk, we will discuss generalized Clifford algebras, known results about their representations, and results of ongoing work in this direction.