5 citations · 13 across the 6 of their papers we have counts for
6 papers
Global Parabolic Induction and Abstract Automorphicity
Gal Dor
In arXiv:2011.03313, the author has constructed a category of abstractly automorphic representations for over a function field . This is a symmetric monoidal Ab…
Modules of Zeta Integrals for
Gal Dor
We categorify the Hecke L-functions of by replacing the L-functions with "modules of zeta integrals". These modules of zeta integrals are generated by the classica…
Exotic Monoidal Structures and Abstractly Automorphic Representations for
Gal Dor
We use the theta correspondence to study the equivalence between Godement-Jacquet and Jacquet-Langlands L-functions for . We show that the resulting comparison is i…
The Dixmier-Malliavin Theorem and Bornological Vector Spaces
Gal Dor
This note is intended to reformulate the Dixmier-Malliavin theorem about smooth group representations in the language of bornological vector spaces, instead of topological vector s…
The Grassmann algebra in arbitrary characteristic and generalized sign
Gal Dor, Alexei Kanel-Belov, Uzi Vishne
We define a generalization of the Grassmann algebra which is well-behaved over arbitrary commutative rings , even when is not invertible. In particular, t…
A Uniform Version of the Petrov-Khovanskii Theorem
Gal Binyamini, Gal Dor
An Abelian integral is the integral over the level curves of a Hamiltonian of an algebraic form . The infinitesimal Hilbert sixteenth problem calls for the study of the numb…