**Lectures on Representation Theory and Invariant Theory**

by William Crawley-Boevey

**Publisher**: University of Leeds 1990**Number of pages**: 77

**Description**:

These are the notes for a lecture course on the symmetric group, the general linear group and invariant theory. The aim of the course was to cover as much of the beautiful classical theory as time allowed. The result is a text which requires no previous knowledge beyond a smattering of rings and modules, character theory, and affine varieties.

Download or read it online for free here:

**Download link**

(240KB, PDF)

## Similar books

**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.

(

**4937**views)

**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.

(

**12679**views)

**Representation Theory of Compact Groups**

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.

(

**6139**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.

(

**3715**views)