Multiplicity free fibers in maps between vector bundles

[camilus]

For a map between vector bundles (which commute with a certain Lie groups like Sl2R or GL2R), what does it mean exactly for a fiber to be multiplicity free?

Eplanations would be good, but examples would be even better. Thanks in advance, Gauss bless you!

CM

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?