Inverses of Hermetian Matrices

Consider the Yang Mills group SU(N) with Hermetian generators T^i with i
= 1,2,3...N^2-1.

Take a scalar (for simplicity) denoted s_i and form the NxN matrix:

M = T^i s_i

For example, for SU(2):

M = .5 / s_3 s_1 - i s_2 \
\ s_1 + i s_2 -s_3 /

It is easy to find the inverse M^-1 of the M shown above for SU(2), such
that M^-1 M = I, with I being a 2x2 identity matrix.

Is there anywhere that I can find a general expression for the inverse
of *any* M, for *any* T^i s_i formed from SU(N)?

Thanks,

Jay.
_____________________________
Jay R. Yablon
Email: jyablon@xxxxxxxxxxxx
co-moderator, sci.physics.foundations



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