Advances in Mathematics最新文献_第7页

On a method of Hurwitz and its applications 论赫尔维茨方法及其应用

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-10-11 DOI: 10.1016/j.aim.2024.109968

W. Duke , Ö. Imamoḡlu , Á. Tóth

引用次数: 0

The C-motivic Adams-Novikov spectral sequence for topological modular forms 拓扑模块形式的 C 动力亚当斯-诺维科夫谱序列

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-10-08 DOI: 10.1016/j.aim.2024.109966

Daniel C. Isaksen , Hana Jia Kong , Guchuan Li , Yangyang Ruan , Heyi Zhu

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Non-algebraic geometrically trivial cohomology classes over finite fields 有限域上的非代数几何琐碎同调类

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-10-07 DOI: 10.1016/j.aim.2024.109964

Federico Scavia , Fumiaki Suzuki

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Zeta functions for spherical tits buildings of finite general linear groups 有限一般线性群球形山雀建筑的 Zeta 函数

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-10-04 DOI: 10.1016/j.aim.2024.109965

Jianhao Shen

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The category of topological spaces and open maps does not have products 拓扑空间和开放映射范畴没有乘积

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-10-03 DOI: 10.1016/j.aim.2024.109963

Guram Bezhanishvili , Andre Kornell

引用次数: 0

From local nets to Euler elements 从局部网到欧拉元素

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-10-01 DOI: 10.1016/j.aim.2024.109960

Vincenzo Morinelli, Karl-Hermann Neeb

{"title":"From local nets to Euler elements","authors":"Vincenzo Morinelli, Karl-Hermann Neeb","doi":"10.1016/j.aim.2024.109960","DOIUrl":"10.1016/j.aim.2024.109960","url":null,"abstract":"<div><div>Various aspects of the geometric setting of Algebraic Quantum Field Theory (AQFT) models related to representations of the Poincaré group can be studied for general Lie groups, whose Lie algebra contains an Euler element, i.e., ad <em>h</em> is diagonalizable with eigenvalues in <span><math><mo>{</mo><mo>−</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>}</mo></math></span>. This has been explored by the authors and their collaborators during recent years. A key property in this construction is the Bisognano–Wichmann property (thermal property for wedge region algebras) concerning the geometric implementation of modular groups of local algebras.</div><div>In the present paper we prove that under a natural regularity condition, geometrically implemented modular groups arising from the Bisognano–Wichmann property are always generated by Euler elements. We also show the converse, namely that in presence of Euler elements and the Bisognano–Wichmann property, regularity and localizability hold in a quite general setting. Lastly we show that, in this generalized AQFT, in the vacuum representation, under analogous assumptions (regularity and Bisognano–Wichmann), the von Neumann algebras associated to wedge regions are type III<sub>1</sub> factors, a property that is well-known in the AQFT context.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"458 ","pages":"Article 109960"},"PeriodicalIF":1.5,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A motivic pairing and the Mellin transform in function fields 函数场中的动机配对和梅林变换

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-10-01 DOI: 10.1016/j.aim.2024.109962

Nathan Green

引用次数: 0

Approximation properties for dynamical W⁎-correspondences 动态 W⁎ 对应关系的近似特性

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-09-30 DOI: 10.1016/j.aim.2024.109958

K. De Commer, J. De Ro

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引用次数: 0

Curvature bound for Lp Minkowski problem Lp Minkowski 问题的曲率约束

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-09-27 DOI: 10.1016/j.aim.2024.109959

Kyeongsu Choi , Minhyun Kim , Taehun Lee

引用次数: 0

Arithmetic Demailly approximation theorem 戴梅利算术近似定理

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2024-09-27 DOI: 10.1016/j.aim.2024.109961

Binggang Qu , Hang Yin

引用次数: 0