Code
3G011613
Duration
01 January 2013 → 31 December 2018
Funding
Research Foundation - Flanders (FWO)
Promotor
Research disciplines
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Natural sciences
- Topological groups, Lie groups
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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.