Kategoria BISAC: Mathematics >> Group Theory

This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids.

Topics presented include:

structure and representation theory of reductive algebraic monoids

monoid schemes and applications of monoids

monoids related to Lie theory

equivariant embeddings of algebraic groups

constructions and properties of monoids from algebraic combinatorics

endomorphism monoids induced from vector bundles

Hodge-Newton decompositions of reductive...

Based on presentations given at the NordForsk Network Closing Conference "Operator Algebra and Dynamics," held in Gjaargarour, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.

It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite...

Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive "toy" examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through sophisticated machinery but still desiring a rigorous understanding of the main concepts. The subject's classical counterparts, ordinary homology and cohomology, dating back to the work of Henri Poincare...

Auf der Basis von Symmetrie-Uberlegungen bietet dieses Buch eine einzigartige Herleitung der fundamentalen Theorien der Physik. Dafur werden zunachst alle mathematische Werkzeuge eingefuhrt, die der Leser benotigt, um mit Symmetrien in der Physik zu arbeiten. Hierbei wird jedoch nur gewohnliche Schulmathematik vorausgesetzt. Anschliessend werden diese Werkzeuge benutzt, um durch Symmetrie-Uberlegungen die fundamentalen Gleichungen der Quantenmechanik, Quantenfeldtheorie, Elektrodynamik und Klassischen Mechanik herzuleiten. So ist der Leser in der Lage, die Basis-Annahmen hinter und die...

In this book, the theory of operational symmetries is developed from the numbers, from Plato's and Kepler's symmetries over the simple Lie groups to their applications...

Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in mathematics and physics with diverse backgrounds in algebraic and differential geometry. Throughout the book, examples are emphasized. Exercises add to the reader's understanding of the material; most are enhanced with hints.

The exposition is divided into two parts. The first part, 'Background Theory',...