Seminar
Polynomial representations of osp(1|2n)
by Asmus Bisbo (Ghent University)
Location: Campus Sterre, Building S8, Classroom 3.2, Ghent
Time: Friday April 5, 2019 at
13:30
The well-studied boson Fock representation of \( osp(1 | 2n) \) can be easily realized in terms of partial derivatives and variable multiplications on the space of \(n\)-variable complex valued polynomials. Generalizing this situation by substituting the partial derivatives with \(p\)-dimensional Dirac operators and the variable multiplications with corresponding Clifford operators acting on spinor-valued polynomials, we get realizations of the paraboson representations of \(osp(1 | 2n)\) with lowest weight (\(p\)/2,…,\(p\)/2). Using a nice description of the characters of these representations in terms of Schur functions, we find natural bases of spinor-valued polynomials indexed by semi-standard Young tableaux.
