Representation theory resources and references
Representation theory of finite groups
C.Teleman,
Representation theory
P.Webb, Representation Theory Book
P.Diaconis, Group
representations in probability and statistics
W.Miller, Symmetry, Groups and Their Applications
A.Baker, Representations of finite groups
Materials and links from a
course on representation theory at Stanford University
J.Rabinoff, Fourier analysis on
finite groups and Schur orthogonality
Wiki page on reps of finite groups
Jeremy Rickard's webpage for a rep theory course contains
problem sets and solutions.
Exercises for
Joseph Bernstein's course
Representations of the symmetric group
P.Diaconis, Representation Theory of the Symmetric Group
W.Miller, Chapter 4.
Representations of the
symmetric groups
W. Crawley-Boevey, Lectures
on representation theory and
invariant theory
D.Goldschmidt, Group Characters, Symmetric Functions,
and the Hecke Algebra
E.B.Vinberg: Representation of
the symmetric groups, a very short summary for SpringerLink. Notice interesting comments that follow the
summary.
A.Vershik, A.Okounkov, A New
Approach to the Representation Theory of the Symmetric Groups
M.Srinivasan, Notes
on the Vershik-Okounkov approach to the
representation theory of the symmetric group
A.Vershik, A new approach
to the representation theory of the symmetric groups, III: Induced representations and the
Frobenius--Young correspondence
A.Okounkov, Characters
of symmetric groups, video
Hecke algebras and their representations
O.Ogievetsky, P.Pyatov, Lecture on
Hecke algebras
D.Goldschmidt, Group Characters, Symmetric Functions,
and the Hecke Algebra
V.Ginzburg, Geometric Methods in Representation Theory of
Hecke Algebras and Quantum Groups
McKay correspondence
J. van Hoboken, Platonic solids,
binary polyhedral groups, Kleinian singularities and
Lie algebras of type A,D,E. Master's Thesis.
J. McKay, Cartan matrices, finite groups
of quaternions, and Kleinian singularities
R. Stekolshchik,
Notes on Coxeter Transformations
and the McKay correspondence
Lie groups and their representations
P.Cvitanovic, Group theory. Birdtrack's, Lie's, and exceptional groups.
This is a book devoted to diagrammatic study of tensors built out of simple Lie algebras and their representations.
There are two books (not available online) that study diagrammatics of tensors for representations of quantum sl(2)
and their relation to link and 3-manifold invariants: Kauffman-Lins, Temperley-Lieb recoupling theory and
invariants of 3-manifods, and Carter, Flath, Saito, Classical and quantum 6j-symbols. To relate Cvitanovic's book
to Kauffman-Lins and Carter-Flath-Saito ...
David Vogan has notes on several Lie group topics on his webpage.
P.Garrett, Notes on miscellaneous Lie algebras and groups topics
Highest weight categories
J.Bernstein, S.Gelfand,
Tensor products of
finite and infinite dimensional representations of semisimple Lie algebras
D.Gaitsgory, Geometric Representation theory
Notes for a course on highest weight categories.
Representations of quivers
Geometric representation theory
LINK to GRASP
Ginzburg
Bernstein's notes on D-modules
Fourier transform on groups and applications
M.Mackey,
Harmonic analysis as the exploitation of symmetry--a historical survey
Hopf algebras and quantum groups
Homological algebra
C.Weibel,K-book
C.Kassel, Homology and cohomology of associative
algebras - A concise introduction to cyclic homology
D.Milicic, Lectures on derived categories
Links to people's webpages
Persi Diaconis
William Crawley-Boevey
David Ben-Zvi
J.Bernstein
D.Vogan
Wikipedia resources
Dual Coxeter number.
Off-line resources