Varieties of Lattices
by Peter Jipsen, Henry Rose
Publisher: Springer 1992
Number of pages: 168
The study of lattice varieties is has experienced a rapid growth in the last decades, but many of the results discovered in that period appeared only in research papers. This book presents the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The text covers preliminaries that make the material accessible to anyone with an introductory course in universal algebra. Each chapter begins with a short historical introduction and then presents the results with complete proofs. Numerous diagrams illustrate the lattice theory and aid in the visualization of the proofs. Extensive bibliography makes the monograph a useful reference work.
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by Fiona Murnaghan - University of Toronto
Contents: Representation Theory of Groups - Algebraic Foundations; Representations of Finite Groups; Representations of SL2(Fq); Representations of Finite Groups of Lie Type; Topological Groups, Representations, and Haar Measure; etc.
by Brian C. Hall - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
by Thomas J. Enright - Tata Institute of Fundamental Research
The purpose of these lectures is to describe a factorial correspondence between the theory of admissible representations for a complex semisimple Lie group and the theory of highest weight modules for a semisimple Lie algebra.
by F. Bruhat - Tata Institute of Fundamental Research
The text covers the classical theory of valuated fields, results about representations of classical groups over a locally compact valuated field, and Dwork's proof of the rationality of the zeta function of an algebraic variety over a finite field.