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pro vyhledávání: '"parabolic induction"'
In analogy with the construction of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C*-modules and of C*-correspondences. The construction produces global C*-c
Externí odkaz:
http://arxiv.org/abs/2412.02379
Autor:
Campbell, Justin, Chen, Lin, Faergeman, Joakim, Gaitsgory, Dennis, Lin, Kevin, Raskin, Sam, Rozenblyum, Nick
We establish the compatibility of the Langlands functor with the operations of Eisenstein series constant term, and deduce that the Langlands functor induces an equivalence on Eisenstein-generated subcategories.
Externí odkaz:
http://arxiv.org/abs/2409.07051
Autor:
Ueda, Mamoru
By using the coproduct and evaluation map for the affine Yangian and the Miura map for non-rectangular $W$-algebras, we construct a homomorphism from the affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the universal enveloping algebra
Externí odkaz:
http://arxiv.org/abs/2404.14096
Autor:
Wang, Yiyang
We study the compatibility of the formal degree conjecture and the parabolic induction process in the simplest nontrivial case for quasi-split $p$-adic groups. For a generic discrete series $\pi$ induced from an irreducible supercuspidal $\sigma$ of
Externí odkaz:
http://arxiv.org/abs/2402.16456
Autor:
Dupré, Nicolas
Let $G$ be the group of rational points of a split connected reductive group over a non-archimedean local field of residue characteristic $p$, and let $\mathcal{H}$ denote the pro-$p$ Iwahori-Hecke algebra of $G$ over a field of characteristic $p$. W
Externí odkaz:
http://arxiv.org/abs/2312.12238
Autor:
Renard, David
Let $G$ be a real reductive linear group in the Harish-Chandra class. Suppose that $P$ is a parabolic subgroup of $G$ with Langlands decomposition $P=MAN$. Let $\pi$ be an irreducible representation of the Levi factor $L=MA$. We give sufficient condi
Externí odkaz:
http://arxiv.org/abs/2310.11202
Autor:
Ciganović, Igor
In this paper, we determine the composition series of the induced representation $\delta([\nu^{-a}\rho,\nu^{c}\rho]) \times \delta([\nu^{\frac{1}{2}}\rho, \nu^{b}\rho]) \rtimes \sigma $ where $a, b, c \in \mathbb{Z}+ \frac{1}{2} $ such that $\frac{1}
Externí odkaz:
http://arxiv.org/abs/2305.08797
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2018 Jan 01. 30(2), 695-727.
Externí odkaz:
https://www.jstor.org/stable/26542222
Akademický článek
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Autor:
Heyer, Claudius
Publikováno v:
Math. Z., volume 305, number 46, 2023, 60 pages
We prove that the derived parabolic induction functor, defined on the unbounded derived category of smooth mod $p$ representations of a $p$-adic reductive group, admits a left adjoint $\mathrm{L}(U,-)$. We study the cohomology functors $\mathrm{H}^i\
Externí odkaz:
http://arxiv.org/abs/2204.11581