# Formal degrees and adjoint -factors

@article{Hiraga2007FormalDA, title={Formal degrees and adjoint -factors}, author={Kaoru Hiraga and Atsushi Ichino and Tamotsu Ikeda}, journal={Journal of the American Mathematical Society}, year={2007}, volume={21}, pages={283-304} }

L( 12 , π1 × π0) L(1, π1, Ad)L(1, π0, Ad) if v is unramified (cf. [20]). Now let G = H×H, where H is a connected reductive algebraic group over F . For simplicity, we assume that the connected center of H is anisotropic. Let π = πH ⊗ π̌H , where πH is a discrete series representation of H and π̌H is the contragredient representation of πH . Then (0.1) can be expressed in terms of the formal degree d(πH) of πH . In this paper, we give a conjectural formula for d(πH) in terms of the adjoint…

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Correction to "Formal degrees and adjoint gamma-factors''

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The authors would like to thank Professor Gross for pointing out an error in Lemma 3.3 of [4]. Conjecture 1.4 of [4] does not hold for d(π) = d(π, μG/A,ψ) in the non-archimedean case. We need to…

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