Logo

Lectures on Representation Theory and Invariant Theory

Small book cover: Lectures on Representation Theory and Invariant Theory

Lectures on Representation Theory and Invariant Theory
by

Publisher: University of Leeds
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.

Home page url

Download or read it online for free here:
Download link
(240KB, PDF)

Similar books

Book cover: Introduction to Representation TheoryIntroduction to Representation Theory
by - 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.
(6556 views)
Book cover: Lectures on Representations of Complex Semi-Simple Lie GroupsLectures on Representations of Complex Semi-Simple Lie Groups
by - 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.
(5946 views)
Book cover: Symplectic Reflection AlgebrasSymplectic Reflection Algebras
by - 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.
(5061 views)
Book cover: Lectures on Some Aspects of p-Adic AnalysisLectures on Some Aspects of p-Adic Analysis
by - Tata Institute of Fundamental Research
The text covers the classical theory of valuated fields, results about representations of classical groups over a locally compact valuated field, and Dwork's proof of the rationality of the zeta function of an algebraic variety over a finite field.
(5645 views)