By Peter Webb

This graduate-level textual content presents an intensive grounding within the illustration concept of finite teams over fields and earrings. The ebook presents a balanced and complete account of the topic, detailing the tools had to study representations that come up in lots of components of arithmetic. Key themes contain the development and use of personality tables, the position of induction and restrict, projective and straightforward modules for team algebras, indecomposable representations, Brauer characters, and block idea. This classroom-tested textual content presents motivation via loads of labored examples, with workouts on the finish of every bankruptcy that try the reader's wisdom, supply additional examples and perform, and comprise effects no longer confirmed within the textual content. necessities contain a graduate direction in summary algebra, and familiarity with the houses of teams, jewelry, box extensions, and linear algebra.

Show description

Read Online or Download A Course in Finite Group Representation Theory (Cambridge Studies in Advanced Mathematics) PDF

Best group theory books

Galois Theory of p-Extensions (Springer Monographs in by Helmut Koch,F. Lemmermeyer PDF

Helmut Koch's vintage is now to be had in English. accurately translated via Franz Lemmermeyer, it introduces the idea of pro-p teams and their cohomology. The publication includes a postscript at the contemporary improvement of the sector written by way of H. Koch and F. Lemmermeyer, in addition to many extra fresh references.

William Arveson's Noncommutative Dynamics and E-Semigroups (Springer PDF

This ebook introduces the concept of an E-semigroup, a generalization of the identified suggestion of E_O-semigroup. those items are households of endomorphisms of a von Neumann algebra fulfilling yes ordinary algebraic and continuity stipulations. Its thorough technique is perfect for graduate scholars and study mathematicians.

Download e-book for kindle: Recent Progress in General Topology III by K.P. Hart,Jan van Mill,P Simon

The e-book offers surveys describing fresh advancements in many of the basic subfields of basic Topology, and its purposes to Algebra and research over the last decade, following the former variants (North Holland, 1992 and 2002). The e-book was once ready in reference to the Prague Topological Symposium, held in 2011.

Read e-book online Lectures on Functor Homology (Progress in Mathematics) PDF

This booklet encompasses a sequence of lectures that explores 3 diversified fields during which functor homology (short for homological algebra in functor different types) has lately performed an important function. for every of those functions, the functor perspective presents either crucial insights and new tools for tackling tricky mathematical difficulties.

Additional info for A Course in Finite Group Representation Theory (Cambridge Studies in Advanced Mathematics)

Example text

Download PDF sample

A Course in Finite Group Representation Theory (Cambridge Studies in Advanced Mathematics) by Peter Webb

by John

Rated 4.28 of 5 – based on 20 votes