Howe duality
Web9:30-10:30: Wee Teck Gan: On the Howe duality conjecture: Abstract: The theory of local theta correspondence was initiated by Howe in two influential papers written in the 1970’s. A fundamental conjecture in this subject is the Howe duality conjecture. WebFILTRATIONS AND POSITIVE CHARACTERISTIC HOWE DUALITY 3 The data (A;W; ) is said to be quasi-hereditary (for short, QH) provided that (1) is equiv-alent to a total ordering on W, (2) the regular module AA has a D-filtration and (3) for each l2W, L(l) appears as a composition factor in D(l) precisely once. Remark 2.1.1.
Howe duality
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Web27 nov. 2009 · The main step in the construction is a categorification of representations of U_ {q} ( {\mathfrak {sl}}_ {2}) which are related to representations of U_ {q} ( {\mathfrak … Web9 sep. 2024 · The Howe duality for quantum general linear groups has been provided via quantum coordinate algebras by Ruibin Zhang. We also generalize this algebraic approach to i-quantum groups of type AIII/IV, and prove that the quantum Howe duality derived from partial flag varieties coincides with the one constructed by quantum coordinate coalgebras.
Web8 aug. 2024 · It is hence not surprising to find, owing to Howe duality, that C (1234) = −2 K 1 and C (3456) = −2 K 2, namely that the intermediate Casimir operators corresponding … Webthe proofs in the local non-archimedean case, and the basic papers of Howe [H2] and [H3] for the real theory. I would like to thank M. Ram Murty for inviting me to CRM to give …
The Howe duality conjecture for archimedean local fields was proved by Roger Howe. For -adic local fields with odd it was proved by Jean-Loup Waldspurger. Alberto Mínguez later gave a proof for dual pairs of general linear groups, that works for arbitrary residue characteristic. Meer weergeven 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 … Meer weergeven • Reductive dual pair • Metaplectic group Meer weergeven 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 $${\displaystyle F}$$, and $${\displaystyle Sp(W)}$$ Meer weergeven • Gan, Wee Teck; Takeda, Shuichiro (2016), "A proof of the Howe duality conjecture", J. Amer. Math. Soc., 29 (2): 473–493, Meer weergeven http://www.math.tifr.res.in/~dprasad/montreal.pdf
WebFinally, we will decompose the Weil representation into irreducible representations of Sp(2,Fq) via Howe duality. 10/25 Quantum sl2 and knots, I [speaker ... Both of these hold true on hyperbolic surfaces of finite volume because of the Howe-Moore theorem. Non-trivial irreducible unitary representations of PSL(2, R) can be classified as ...
WebXavier Bekaert Centre Émile Borel, Institut Henri Poincaré 11, rue Pierre et Marie Curie, 75231 Paris Cedex 05, France, and Physique Théorique et Mathématique, Université Lib dhyanyoga centers incWebThe topics covered include uncertainty principles forlocally compact abelian groups, fundamentals of representations of"p"-adic groups, the Harish?Chandra?Howe local characterexpansion, classification of the square-integrable representationsmodulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and … dhyan sreenivasan and familyWebGurevich-Howe_Rank and duality in representation theory_2024.pdf (Verlagsversion), 805KB dhyas in englishWeb26 jan. 1999 · A dual pair is defined to be a pair of mutually centralizing subgroups of the real symplectic group. Let (G,G ′) be a dual pair of reductive groups in which G is also compact and consider the decomposition of the metaplectic representation of the symplectic group into GG ′ -irreducibles. dhyas foundation vasaiWeb5 apr. 2014 · 1.3 Skew Howe duality and webs. The core idea of our proof is to use skew Howe duality. We give a recipe for the relations in \mathcal {R}ep (\mathrm { {SL}}_n) as … cincinnati zoning office limitedWeb9 mei 2024 · This paper has provided a synthetic description of the Higgs and Hahn algebras in light of Howe duality. With the understanding that the Higgs and the (discrete) Hahn algebras are isomorphic, we have shown that this algebra can be viewed as a commutant in U ( u ( 4)). It has also been recalled that it can be embedded in the tensor … dhyan sreenivasan directed moviesWebSkew Howe duality and random rectangular Young tableaux Panova, Greta 1; Śniady, Piotr 2. 1 UPenn Mathematics Department, 209 South 33rd St, Philadelphia, PA 19104, USA 2 Institute of Mathematics, Polish Academy of Sciences, ul. … cincinnati zoo 4 tickets for $54