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: 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.
(10143 views)
Book cover: Lectures on Lie Groups and Representations of Locally Compact GroupsLectures on Lie Groups and Representations of Locally Compact Groups
by - Tata Institute of Fundamental Research
We consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. We have rigidly adhered to the analytic approach in establishing the relations between Lie groups and Lie algebras.
(12900 views)
Book cover: Varieties of LatticesVarieties of Lattices
by - Springer
Presents the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The text includes preliminaries that make the material accessible to anyone with basic knowledge of universal algebra.
(13963 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.
(10386 views)