Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Aizenbud, Avraham"'
We introduce a notion of distributions on $\mathbb{R}^n$, called distributions of C$^{{\mathrm{exp}}}$-class, based on wavelet transforms of distributions and the theory from [6] about C$^{{\mathrm{exp}}}$-class functions. We prove that the framework
Externí odkaz:
http://arxiv.org/abs/2403.20167
We prove that a quotient of a Nash manifold $X$ by a closed equivalence relation $R\subset X\times X$, which is submersive over $X$, yields a Nash manifold $X/R$.
Comment: 18 pages, comments are welcome
Comment: 18 pages, comments are welcome
Externí odkaz:
http://arxiv.org/abs/2304.02287
Autor:
Aizenbud, Avraham, Bader, Uri
We study equivariant morphisms from zero dimensional schemes to varieties and show that, under suitable assumptions, all such morphisms factor via a canonical one. We relate the above to Algebraic Representations of Ergodic Actions.
Externí odkaz:
http://arxiv.org/abs/2304.01337
Autor:
Aizenbud, Avraham, Gourevitch, Dmitry
Let a complex algebraic reductive group $\bf G$ act on a complex algebraic manifold $\bf X$. For a $\bf G$-invariant subvariety $\Xi$ of the nilpotent cone $\mathcal{N}(\mathfrak{g}^*)\subset \mathfrak{g}^*$ we define a notion of $\Xi$-symplectic com
Externí odkaz:
http://arxiv.org/abs/2303.11132
We show that the results of [BM97, DeB02b, Oka, Lus85, AA07, Tay16] imply a positive answer to the question of Moeglin-Waldspurger on wave-front sets in the case of depth zero cuspidal representations. Namely, we deduce that for large enough residue
Externí odkaz:
http://arxiv.org/abs/2205.14695
Autor:
Avni, Nir, Aizenbud, Avraham
Publikováno v:
Forum of Mathematics, Sigma 12 (2024) e73
Let $\Gamma$ be a finite group, let $\theta$ be an involution of $\Gamma$, and let $\rho$ be an irreducible complex representation of $\Gamma$. We bound $\dim \rho^{\Gamma^{\theta}}$ in terms of the smallest dimension of a faithful $\mathbb{F}_p$-rep
Externí odkaz:
http://arxiv.org/abs/2202.12217
We prove the following result in relative representation theory of a reductive p-adic group $G$: Let $U$ be the unipotent radical of a minimal parabolic subgroup of $G$, and let $\psi$ be an arbitrary smooth character of $U$. Let $S \subset Irr(G)$ b
Externí odkaz:
http://arxiv.org/abs/2202.04984
Correction to: Representation Growth and Rational Singularities of the Moduli Space of Local Systems
Publikováno v:
Invent. Math. 227 (2022), no. 3, 1431-1434
We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local Systems" arXiv:1307.0371.
Comment: 3 pages, 2 figures, to appear
Comment: 3 pages, 2 figures, to appear
Externí odkaz:
http://arxiv.org/abs/2111.10370
Given a finite group $G$ and its representation $\rho$, the corresponding McKay graph is a graph $\Gamma(G,\rho)$ whose vertices are the irreducible representations of $G$; the number of edges between two vertices $\pi,\tau$ of $\Gamma(G,\rho)$ is $d
Externí odkaz:
http://arxiv.org/abs/2109.01842