Project

Construction of symmetry algebra realizations using Dirac operators

Code
3G011613
Duration
01 January 2013 → 31 December 2018
Funding
Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • Topological groups, Lie groups
  • Engineering and technology
    • Signal processing not elsewhere classified
Keywords
Dirac operators clifford analysis Lie superalgebras transvector algebras
 
Project description

The main aim is to construct new concrete realizations of the Lie superalgebra osp(1|2n) using Dirac operators, in the framework of Clifford analysis. These realizations will subsequently be studied from a function theoretical point of view. In particular, we wish to construct generalized integral transforms that intertwine the generators of the superalgebra. Also the connection with transvector algebras will be investigated.