Building on the author's recent results on rational structures on unitary representations of real reductive groups, we prove new period relations for the special $L$-values of automorphic $L$-functions which are in accordance with Deligne's Conjecture.
Functoriality and special values of L-functions
Deligne's conjecture for automorphic motives over CM-fields, Part I: factorization
Algebraicity of ratios of special values of Rankin-Selberg $L$-functions and applications to Deligne's conjecture
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