Results 11 to 20 of about 67 (65)

Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations

Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023
Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
wiley   +1 more source

Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$

Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1773-1790, August 2023., 2023
Abstract Let F$F$ be a totally real field and n⩽4$n\leqslant 4$ a natural number. We study the monodromy groups of any n$n$‐dimensional strictly compatible system {ρλ}λ$\lbrace \rho _\lambda \rbrace _\lambda$ of λ$\lambda$‐adic representations of F$F$ with distinct Hodge–Tate numbers such that ρλ0$\rho _{\lambda _0}$ is irreducible for some λ0$\lambda ...
Chun Yin Hui
wiley   +1 more source

Hecke algebras and the Schlichting completion for discrete quantum groups

Journal of the London Mathematical Society, Volume 107, Issue 3, Page 843-885, March 2023., 2023
Abstract We introduce Hecke algebras associated to discrete quantum groups with commensurated quantum subgroups. We study their modular properties and the associated Hecke operators. In order to investigate their analytic properties we adapt the construction of the Schlichting completion to the quantum setting, thus obtaining locally compact quantum ...
Adam Skalski, Roland Vergnioux, Christian Voigt   +2 more
wiley   +1 more source

On the Grothendieck–Serre conjecture for classical groups

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 2884-2926, December 2022., 2022
Abstract We prove some new cases of the Grothendieck–Serre conjecture for classical groups. This is based on a new construction of the Gersten–Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue maps; the complex is shown to be exact when the ring is of dimension ⩽2$\leqslant 2$ (or ⩽
Eva Bayer‐Fluckiger, Uriya A. First, Raman Parimala   +2 more
wiley   +1 more source

Hidden Sectors from Multiple Line Bundles for the B−L$B-L$ MSSM

Fortschritte der Physik, Volume 70, Issue 7-8, August 2022., 2022
Abstract We give a formalism for constructing hidden sector bundles as extensions of sums of line bundles in heterotic M‐theory. Although this construction is generic, we present it within the context of the specific Schoen threefold that leads to the physically realistic B−L$B-L$ MSSM model.
Anthony Ashmore, Sebastian Dumitru, Burt A. Ovrut   +2 more
wiley   +1 more source

The paraunitary group of a von Neumann algebra

Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1220-1231, August 2022., 2022
Abstract It is proved that the pure paraunitary group over a von Neumann algebra coincides with the structure group of its projection lattice. The structure group of an arbitrary orthomodular lattice (OML) is a group with a right invariant lattice order, and as such it is known to be a complete invariant of the OML.
Carsten Dietzel, Wolfgang Rump
wiley   +1 more source

Traces on diagram algebras I: Free partition quantum groups, random lattice paths and random walks on trees

Journal of the London Mathematical Society, Volume 105, Issue 4, Page 2324-2372, June 2022., 2022
Abstract We classify extremal traces on the seven direct limit algebras of noncrossing partitions arising from the classification of free partition quantum groups of Banica–Speicher [5] and Weber [42]. For the infinite‐dimensional Temperley–Lieb algebra (corresponding to the quantum group ON+$O^+_N$) and the Motzkin algebra (BN+$B^+_N$), the ...
Jonas Wahl
wiley   +1 more source

Heterotic String Model Building with Monad Bundles and Reinforcement Learning

Fortschritte der Physik, Volume 70, Issue 2-3, March 2022., 2022
Abstract We use reinforcement learning as a means of constructing string compactifications with prescribed properties. Specifically, we study heterotic GUT models on Calabi‐Yau three‐folds with monad bundles, in search of phenomenologically promising examples.
Andrei Constantin, Thomas R. Harvey, Andre Lukas   +2 more
wiley   +1 more source

Yang–Baxter endomorphisms

Journal of the London Mathematical Society, Volume 103, Issue 2, Page 633-671, March 2021., 2021
Abstract Every unitary solution of the Yang–Baxter equation (R‐matrix) in dimension d can be viewed as a unitary element of the Cuntz algebra Od and as such defines an endomorphism of Od. These Yang–Baxter endomorphisms restrict and extend to several other C∗‐ and von Neumann algebras, and furthermore define a II1 factor associated with an extremal ...
Roberto Conti, Gandalf Lechner
wiley   +1 more source

Finite‐dimensional approximation properties for uniform Roe algebras

Journal of the London Mathematical Society, Volume 102, Issue 2, Page 623-644, October 2020., 2020
Abstract We study property A for metric spaces X with bounded geometry introduced by Guoliang Yu. Property A is an amenability‐type condition, which is less restrictive than amenability for groups. The property has a connection with finite‐dimensional approximation properties in the theory of operator algebras. It has been already known that property A
Hiroki Sako
wiley   +1 more source