Infinite-dimensional Lie Algebras
by Iain Gordon
Publisher: University of Edinburgh 2009
Number of pages: 55
Contents: Central extensions; The Virasoro algebra; The Heisenberg algebra; Enveloping algebras; A little infinite-dimensional surprise; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Classification of generalised Cartanmatrices; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras and Kac-Moody Lie algebras; etc.
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by Robert B. Ash
Text for a graduate course in abstract algebra, it covers fundamental algebraic structures (groups, rings, fields, modules), and maps between them. The text is written in conventional style, the book can be used as a classroom text or as a reference.
by S. Burris, H.P. Sankappanavar - Springer-Verlag
Selected topics in universal algebra: an introduction to lattices, the most general notions of universal algebra, a careful development of Boolean algebras, discriminator varieties, the introduction to the basic concepts and results of model theory.
by Leonard Evens - Northwestern University
Contents: Groups; Group actions on sets; Normal series; Ring theory; Modules; Hom and tensor; Field theory; Galois theory; Applications of Galois theory; Infinite extensions; Categories; Multilinear algebra; More ring theory; Localization; etc.
by Pierre Schapira - University of Luxemburg
These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).