QUANTUM INVARIANCE GROUPS OF PARTICLE ALGEBRAS
The boson and fermion algebras as well as their various generalizations posess invariance under quantum groups. One example is FIO (2d, R), the fermionic inhomogenous orthogonal quantum group which is the inhomogenous quantum invariance group of the d-dimensional fermion algebra. Another is BISp(2d, R), the bosonic inhomogenous symplectic quantum group which is the inhomogenous quantum invariance group of the d-dimensional boson algebra. Complexification, sub(quantum) groups and quantum group manifolds of these quantum groups will also be discussed.
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