**Varieties of Lattices**

by Peter Jipsen, Henry Rose

**Publisher**: Springer 1992**ISBN/ASIN**: 0387563148**ISBN-13**: 9780387563145**Number of pages**: 168

**Description**:

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.

Download or read it online for free here:

**Download link**

(2MB, PDF)

## Similar books

**An Elementary Introduction to Groups and Representations**

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.

(

**12401**views)

**Lectures on Representation Theory and Invariant Theory**

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.

(

**6822**views)

**Introduction to Representation Theory**

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.

(

**4717**views)

**Symplectic Reflection Algebras**

by

**Gwyn Bellamy**-

**arXiv**

The emphasis throughout is on examples to illustrate the many different facets of symplectic reflection algebras. Exercises are included at the end of each lecture in order for the student to get a better feel for these algebras.

(

**3515**views)