Representation of SU(infinity) Algebra for Matrix Models
Naofumi Kitsunezaki, Shozo Uehara
Abstract
We investigate how the matrix representation of SU(N) algebra approaches that of the Poisson algebra in the large N limit. In the adjoint representation, the (N2-1) times (N2-1) matrices of the SU(N) generators go to those of the Poisson algebra in the large N limit. However, it is not the case for the N times N matrices in the fundamental representation.
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