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 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.
by Peter Webb - University of Minnesota
The book is intended to be used as a learning tool by people who do not know the subject. It is intended to be appropriate for non-specialists in the area of representation theory, such as those whose primary interest is topology or combinatorics.
by William Crawley-Boevey - University of Leeds
These are lectures on the symmetric group, the general linear group and invariant theory. The course covered as much of the classical theory as time allowed. The text requires some knowledge of rings and modules, character theory, affine varieties.
by Fiona Murnaghan - University of Toronto
Contents: Valuations and local fields; Smooth representations of locally compact totally disconnected groups; Haar measure, convolution, and characters of admissible representations; Induced representations - general properties; etc.