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 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.
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 Michael Ruzhansky, Ville Turunen - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
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.