In mathematics, the theta correspondence or Howe correspondence is a mathematical relation between representations of two groups of a reductive dual pair. The local theta correspondence relates irreducible admissible representations over a local field, while the global theta correspondence relates … See more Setup Let $${\displaystyle F}$$ be a local or a global field, not of characteristic $${\displaystyle 2}$$. Let $${\displaystyle W}$$ be a symplectic vector space over $${\displaystyle F}$$, … See more • Reductive dual pair • Metaplectic group See more • Gan, Wee Teck; Takeda, Shuichiro (2016), "A proof of the Howe duality conjecture", J. Amer. Math. Soc., 29 (2): 473–493, arXiv:1407.1995, doi:10.1090/jams/839, S2CID 942882 • Gan, Wee Teck; Sun, Binyong (2024), "The Howe duality conjecture: quaternionic case", … See more WebWe describe some recent progress in the theory of theta correspondence over both local and global fields. We also discuss applications of these recent developments to the local …
Introduction - University of Toronto
Webet al. 1996, Théorème 3.7]study the theta correspondence of Harish-Chandra series of unipotent cuspidal representations for unitary and symplectic-even orthogonal dual pairs. … WebTheta is the brain frequency of repair and healing. Thetahealing is healing technique that uses the belief work given by Viaana Sital, ... • Implementation of 100% bilingual correspondence of internal office memo & communication • Processed over 80 Housing Loans across 20 states of India misty copeland architectural digest
Extending the Theta Correspondence
WebApr 11, 2024 · The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative ${\rm AdS}^2_{\theta}/{\rm … WebThe classical theta correspondence establishes a relationship between automorphic representations on special orthogonal groups and automorphic representations on symplectic groups or their double covers. This correspondence is achieved by using as integral kernel a theta series on the metaplectic double cover of a symplectic group that is … WebJan 2, 2015 · The representation (V) is called the full local theta lift of V. It has an irreducible quotient (V) called the local theta lift of V. There is a technical term called the stable … misty copeland and her husband