2007/09/21 by Christian Pierre, Pierre, C. · 1 citation
Mathematics · #11R39 #47E05 #55R10 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.0709.3383
openalex publication_date 2007/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This third paper,devoted to global correspondences of Langlands,bears more particularly on geometric-shifted bilinear correspondences on mixed (bi)motives generated under the action of the products,right by left,of differential elliptic operators.The mathematical frame,underlying these correspondences,deals with the categories of the Suslin-Voevodsky mixed (bi)motives and of the Chow mixed (bi)motives which are both in one-to-one correspondence with the functional representation spaces of the shifted algebraic bilinear semigroups.A bilinear holomorphic and supercuspidal spectral representation of an elliptic bioperator is then developed.