The oscillator construction of the unitary irreducible lowest (highest) weight representations of the noncompact supergroup OSp(2n/2m,R) with even subgroup SO(2n) X Sp(2m,/R) is given. In particular, simple rules for determining the SO(2n) X Sp(2m,R) decomposition of the unitary lowest weight representations of OSp(2n/2m,R) are derived.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics