show/hide this revision's text 2 edited body

It is

Is it known that the Galois representation constructed by Harris and Taylor in their book is semisimple? I can't see this proven in the book, but on the other hand, everywhere else the representation is taken to be semisimple... Are they considering its semisimplification?

Sorry for the simple question.

Thanks

show/hide this revision's text 1

semisimplicity of automorphic Galois representations

It is known that the Galois representation constructed by Harris and Taylor in their book is semisimple? I can't see this proven in the book, but on the other hand, everywhere else the representation is taken to be semisimple... Are they considering its semisimplification?

Sorry for the simple question.

Thanks