Symplectic dual pair related to soa1,...,an-1(n)

22nd International Conference on Integrable Systems and Quantum Symmetries

Dobrogowska, Alina^1 ; Jakimowicz, Grzegorz^1

Institute of Mathematics, University of Bialystok, Akademicka 2, Bialystok

15-267, Poland^1

关键词: Dual pairs;    Lie Algebra;    Real number;    Skew-symmetric;    Symplectic;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012009/pdf
DOI  :  10.1088/1742-6596/563/1/012009

来源: IOP

【 摘 要 】

We investigate a symplectic dual pair related to a Lie algebra soa1,...,an-1(n) of deformed skew-symmetric n × n matrices. The deformations are parametrized by a sequence of real numbers a1,...,an-1.