Zobrazeno 1 - 10
of 2 527
pro vyhledávání: '"orbital integrals"'
Autor:
Jeon, Seongsu, Lee, Yuchan
For an arbitrarily given irreducible polynomial $\chi(x) \in \mathbb{Z}[x]$ of degree $n$ with $\mathbb{Q}[x]/(\chi(x))$ totally real, let $N(X, T)$ be the number of $n \times n$ matrices over $\mathbb{Z}$ whose characteristic polynomial is $\chi(x)$
Externí odkaz:
http://arxiv.org/abs/2501.00284
A main goal of this paper is to introduce a new description of the stable orbital integral for a regular semisimple element and for the unit element of the Hecke algebra in the case of $\mathfrak{gl}_{n,F}$, $\mathfrak{u}_{n,F}$, and $\mathfrak{sp}_{
Externí odkaz:
http://arxiv.org/abs/2411.16054
Autor:
Li, Huajie
In an infinitesimal variant of Guo-Jacquet trace formulae, the regular semi-simple terms are expressed as noninvariant weighted orbital integrals on two global infinitesimal symmetric spaces. We prove some relations between the Fourier transforms of
Externí odkaz:
http://arxiv.org/abs/2410.23648
A Bass order is an order of a number field whose fractional ideals are generated by two elements. Majority of number fields contain infinitely many Bass orders. For example, any order of a number field which contains the maximal order of a subfield w
Externí odkaz:
http://arxiv.org/abs/2408.16199
Autor:
Cho, Sungmun, Lee, Yuchan
We provide the explicit formula for orbital integrals associated with elliptic regular semisimple elements in $\mathrm{GL}_n(F) \cap \mathrm{M}_n(\mathfrak{o})$ and associated with arbitrary elements of the spherical Hecke algebra of $\mathrm{GL}_n(F
Externí odkaz:
http://arxiv.org/abs/2404.04666
Autor:
Espinosa, Malors
Langlands has introduced a formula for a specific product of orbital integrals in $\mbox{GL}(2, \mathbb{Q})$. Altu\u{g} employs this formula to manipulate the regular elliptic part of the trace formula, with the aim of eliminating the contribution of
Externí odkaz:
http://arxiv.org/abs/2402.08013
Autor:
Tsai, Cheng-Chiang
For a reductive group $G$ over a non-archimedean local field, with some assumptions on (residue) characteristic we give an method to compute certain orbital integrals using a method close to that of Goresky-Kottiwitz-MacPherson but in a different lan
Externí odkaz:
http://arxiv.org/abs/2207.11296
Autor:
Song, Yanli, Tang, Xiang
In this short note, we study the variation of orbital integrals, as traces on the group algebra $G$, under the deformation groupoid. We show that orbital integrals are continuous under the deformation. And we prove that the pairing between orbital in
Externí odkaz:
http://arxiv.org/abs/2204.00243