Adjoint lifting from cuspidal GL(3) representations to GL(8) is established using the triality automorphism and twisted trace formula, with descriptions of isobaric decompositions and applications to Ramanujan bounds and the strong Artin conjecture.
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Triality and adjoint lifting for GL(3)
Adjoint lifting from cuspidal GL(3) representations to GL(8) is established using the triality automorphism and twisted trace formula, with descriptions of isobaric decompositions and applications to Ramanujan bounds and the strong Artin conjecture.