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Email: mphys10@ipb.ac.rs

Abstracts
Asmus Bisbo
Polynomial representations of the Lie superalgebra osp(12n)
The wellstudied boson Fock representation of osp(12n) can be easily realized in terms of partial derivatives and variable multiplications on the space of nvariable complex valued polynomials. Generalizing this situation by substituting the partial derivatives with pdimensional Dirac operators and the variable multiplications with corresponding Clifford operators acting on spinorvalued polynomials, we get realizations of the paraboson representations of osp(12n) with lowest weight (p/2,...,p/2). Using a nice description of the characters of these representations in terms of Schur functions, we find concrete natural bases of Clifford algebravalued polynomials indexed by semistandard Young tableaux.


Organizers:
Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics
(University of Belgrade)
Belgrade, Serbia
Mathematical Institute
(Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science
(University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia
Coorganizers:
Institute of Nuclear Sciences "VinÄ¨a"
(University of Belgrade)
Belgrade, Serbia
Institute of Physics
(University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics
(University of Belgrade)
Belgrade, Serbia
Faculty of Sciences
(University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering
(University of Belgrade)
Belgrade, Serbia
SEENETMTP
(Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia
