A Course in Universal Algebra
by S. Burris, H.P. Sankappanavar
Publisher: Springer-Verlag 1982
Number of pages: 331
This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed suficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests: a brief but substantial introduction to lattices, the most general and fundamental notions of universal algebra, a careful development of Boolean algebras, discriminator varieties, the introduction to some basic concepts, tools, and results of model theory.
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by Claude Chevalley - The Mathematical Society Of Japan
This is the reproduction of the beautiful lectures delivered by Professor C. Chevalley at the University of Tokyo in April-June 1954. Contents: Graded algebras; Tensor algebras; Clifford algebras; Some applications of exterior algebras.
by Richard D. Schafer - Project Gutenberg
Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students.
by J.H. Grace, A. Young - Cambridge, University Press
Invariant theory is a subject within abstract algebra that studies polynomial functions which do not change under transformations from a linear group. This book provides an English introduction to the symbolical method in the theory of Invariants.
by Iain Gordon - University of Edinburgh
Contents: Central extensions; Virasoro algebra; Heisenberg algebra; Enveloping algebras; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras.