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Project: Construction of symmetry algebra realizations using Dirac operators

2013-01-01 – 2018-12-31

Abstract

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.