WebParabolic Induction. Real Parabolic Induction. Defining a Real Parabolic Subgroup. Real Induction. Cohomological Parabolic Induction. Defining a θ -Stable Parabolic Subalgebra. … In mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups. If G is a reductive algebraic group and is the Langlands decomposition of a parabolic subgroup P, then parabolic induction consists of taking a representation of , extending it to P by letting N act trivially, and inducing the result from P to G.
Parabolic cohomology of modular groups and cup-products
WebWe define a process of induction forH-modules in characteristic p that reflects the parabolic induction for representations of the p-adic general linear group and explore the semisimplification of the standard nonsupersingularH-modules in light of this process. 1. Introduction701 2. Affine root system and Weyl groups704 3. WebPARABOLIC INDUCTION IN CHARACTERISTIC p RACHEL OLLIVIER AND MARIE-FRANCE VIGNERAS Abstract. Let F (resp. F) be a nonarchimedean locally compact eld with residue characteristic p ... Ris a prime number ‘) for a general R, is motivated by the congruences between automorphic forms and by number theory. The theory of Harish-Chandra to study … charmawhorms on github
Origami Hyperbolic Parabola - Make-Origami.com
WebDec 10, 2012 · Usually it is given by some sort of integral which converges only in some range and one needs to work in order to prove its meromorphic continuation (it does have … WebJul 27, 2024 · σ = Ind M ∗ ( N ∗ ∩ M) M π Then we can extend σ to P by making it trivial on N, and form Ind P G σ I expect that we should be able to identify the representations Ind P G Ind M ∗ ( N ∗ ∩ M) M π = Ind P ∗ G π This initially appears to be an application of the transitivity of induction, but this principle cannot be immediately implied. Web3. Parabolic induction 6 4. GL 2 and SL 2 7 References 9 1. Some structure theory General reference: Knapp’s lecture in [3]. 1.1. The groups. Let G be a connected reductive algebraic group over R, and G= G(R). Starting with G one can construct the following diagram (1.1) G C {{{{{˙ ˙ 0 B B B B B B B B K C C C C C C C C C G G 0 {{{{{K We rst ... currently dress