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Bulletin of the AMS

Bulletin of the AMS $E_8$, the most exceptional group
( view abstract )
$E_8$, the most exceptional group
The five exceptional simple Lie algebras over the complex number are included one within the other as $ \mathfrak{g}_2 \subset \mathfrak{f}_4 \subset \mathfrak{e}_6 \subset \mathfrak{e}_7 \subset \mathfrak{e}_8$. The biggest one, $ \mathfrak{e}_8$, is in many ways the most mysterious. This article surveys what is known about it, including many recent results, and it focuses on the point of view of Lie algebras and algebraic groups over fields.


Browse the archive 1891 - 2016.

Communication of Mathematics with TeX

Image from Visible Language 50.2AMS Publications Technical Specialist Barbara Beeton and Richard Palais explain the impact of TeX typesetting software on the publication of mathematics in this article that first appeared in Visible Language Volume 50 Issue 2.

The Scholarly Kitchen

Image by Kabir Bakie via Wikimedia CommonsCuration Nation: Thoughts on the Future of Textbooks
AMS Associate Executive Director Robert Harington considers the potential — and drawbacks — of utilizing curated content in the classroom. Read more at the Scholarly Kitchen.

MSC Revision Now Underway

The editors of Mathematical Reviews and zbMATH have launched a collaborative effort to revamp the Mathematics Subject Classification. Visit msc2020.org to read more about the MSC2020 project and to leave your comments.

Featured Publication

Teaching School Mathematics: Pre-Algebra
Hung-Hsi Wu
This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers.

 

Teaching School Mathematics: Algebra
Hung-Hsi Wu
This is a systematic exposition of introductory school algebra written specifically for Common Core era teachers with an emphasis on introductory algebra.

 

The Case of Academician Nikolai Nikolaevich Luzin
Sergei Demidov and Boris Levshin
Containing the transcripts of five meetings of the Academy of Sciences commission, this book is charged with investigating the accusations against Luzin, the leader of the Soviet School of Mathematics.

Research Journals Spotlight
 
JAMS
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MCOM
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PROC
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BTran
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TRAN
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BProc
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ECGD
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ERT
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