Results 31 to 40 of about 57 (48)

Unified invariant of knots from homological braid action on Verma modules

open access: yesProceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.
Abstract We re‐build the quantum sl(2)${\mathfrak {sl}(2)}$ unified invariant of knots F∞$F_{\infty }$ from braid groups' action on tensors of Verma modules. It is a two variables series having the particularity of interpolating both families of colored Jones polynomials and ADO polynomials, that is, semisimple and non‐semisimple invariants of knots ...
Jules Martel, Sonny Willetts
wiley   +1 more source

Extendible functions and local root numbers: Remarks on a paper of R. P. Langlands

open access: yesMathematische Nachrichten, Volume 297, Issue 2, Page 741-782, February 2024.
Abstract This paper refers to Langlands' big set of notes devoted to the question if the (normalized) local Hecke–Tate root number Δ=Δ(E,χ)$\Delta =\Delta (E,\chi )$, where E is a finite separable extension of a fixed nonarchimedean local field F, and χ a quasicharacter of E×$E^\times$, can be appropriately extended to a local ε‐factor εΔ=εΔ(E,ρ ...
Helmut Koch, Ernst‐Wilhelm Zink
wiley   +1 more source

A p$p$‐adic approach to the existence of level‐raising congruences

open access: yesProceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.
Abstract We construct level‐raising congruences between p$p$‐ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. In particular, we prove the existence of the nth$n\text{th}$ symmetric power lift of a Hilbert modular eigenform of regular weight for each odd integer n=1,3,⋯,25$n =
Jack A. Thorne
wiley   +1 more source

Arithmetics of homogeneous spaces over p$p$‐adic function fields

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract Let K$K$ be the function field of a smooth projective geometrically integral curve over a finite extension of Qp$\mathbb {Q}_p$. Following the works of Harari, Scheiderer, Szamuely, Izquierdo, and Tian, we study the local–global and weak approximation problems for homogeneous spaces of SLn,K$\textrm {SL}_{n,K}$ with geometric stabilizers ...
Nguyen Manh Linh
wiley   +1 more source

ON A WEDDERBURN-ARTIN STRUCTURE THEORY OF A POTENT SEMIRING. [PDF]

open access: yesProc Natl Acad Sci U S A, 1957
Bourne S, Zassenhaus H.
europepmc   +1 more source

AN EXTENSION OF THE MAXWELL THEORY. [PDF]

open access: yesProc Natl Acad Sci U S A, 1955
Ingraham RL.
europepmc   +1 more source
Some of the next articles are maybe not open access.

Examples of Non-Semisimple Hopf Algebra Actions on Artin-Schelter Regular Algebras

Algebras and Representation Theory, 2022
Dingguo Wang, Hui-Xiang Chen
exaly  

Artin’s Theorem on Alternative Rings

Mediterranean Journal of Mathematics, 2023
Elisabete Barreiro   +1 more
exaly  

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