December 19, 2007
The JSTOR database is an archive of important scholarly journals, offering researchers high-resolution, scanned images of journal issues and pages. It now includes 37,094 articles from The American Mathematical Monthly, from 1894 to 2003. The 1983 article "Very Basic Lie Theory" by Roger Howe ranks as the ninth most frequently accessed Monthly article in the database.
"Very Basic Lie Theory"
The American Mathematical Monthly, Vol. 90, No. 9 (November 1983), pp. 600-623
"Lie theory, the theory of Lie groups, Lie algebras and their applications, is a fundamental part of mathematics. Since World War II it has been the focus of a burgeoning research effort, and is now seen to touch a tremendous spectrum of mathematical areas, including classical, differential, and algebraic geometry, topology, ordinary and partial differential equations, complex analysis (one and several variables), group and ring theory, number theory, and physics, from classical to quantum and relativistic." This article presents an introduction to Lie theory at a level appropriate to advanced undergraduate instruction.
The top eight Monthly articles are:
New Features at the JSTOR Archive.
Access to the JSTOR archive is provided by many college, university, and other libraries. To find out if your library is a JSTOR participant, use the following link: http://www.jstor.org/page/info/about/organization/participantLists/participantsAll.jsp.
If your library is not on one of the above lists, look for a nearby library that does have JSTOR access and is open to the public. Members of the MAA have the option of purchasing an individual subscription to JSTOR that gives them access to the archives of The American Mathematical Monthly, Mathematics Magazine, and The College Mathematics Journal.