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

A.N.Sengupta, Notes on representations of algebras and finite groups

D.M.Jackson, Notes on the representation theory of finite groups

P.Garrett, Representations of GL(2) and SL(2) over finite fields

D.Joyner, Notes on trace formulas for finite groups

T.Y.Lam, Representations of finite groups: A hundred years, Part I Part II

T.Deshpande, Representations of finite groups of Lie type

Groups and representation theory notes Topics in representation theory

D.Panyushev, Lectures on representations of finite groups and invariant theory

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

My course on reps of finite groups

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

D.Goldschmidt, Group Characters, Symmetric Functions, and the Hecke Algebra

A.Mathas, Hecke algebras and Schur algebras of the symmetric group

R. Stekolshchik, Notes on Coxeter Transformations and the McKay correspondence

Dragan Milicic, Lectures on Lie Groups

Shlomo Sternberg, Lie Algebras

Brian Hall,
An Elementary Introduction to Groups and Representations

Peter Woit, Lie groups and representations

Notes for
Lie algebras class by Victor Kac.

Hans Samelson,
Notes on Lie algebras

Eckhard Meinrenken,
Clifford algebras and Lie groups

A brief summary
Root systems and Weyl groups, by Jeffrey Adams.

Online notes for MIT course
Introduction to Lie groups

H.Kraft, C.Procesi, Classical
invariant theory. A primer.

P.Cvitanovic, Group theory. Birdtrack's, Lie's, and exceptional groups.

David Vogan has notes on several Lie group topics on his webpage.

P.Garrett, Notes on miscellaneous Lie algebras and groups topics

W.G.Dwyer and C.W.Wilkerson,
The elementary geometric structure of compact Lie groups.

M.Mackey, Harmonic analysis as the exploitation of symmetry--a historical survey

C.Kassel, Homology and cohomology of associative algebras - A concise introduction to cyclic homology

C.Weibel,K-book

D.Milicic, Lectures on derived categories

D.Kaledin, Homological methods in Non-commutative Geometry

J.Bernstein, I.Gelfand, S.Gelfand,On some category of g-modules

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.

W.Crawley-Boevey, Lectures on representations of quivers

H.Derksen, J.Weyman, Quiver representations

M.Brion, Representations of quivers

M.Barot, Representations of quivers

H.Krause, Representations of quivers via reflection functors

W.Crawley-Boevey, More lectures on representations of quivers

L.Le Bruyn, Noncommutative geometry @n

J.Bernstein, V.Luntz, Equivariant sheaves and functors 1 2 3 4 5 6

Etale Cohomology resources

J.Bernstein, Algebraic theory of D-modules

J.-P.Schneiders, An introduction to D-modules

P.Maisonobe, C.Sabbah, Aspects of the theory of D-modules

D.Arapura, Notes on D-modules and connections with Hodge theory

V.Ginzburg, Geometric methods in representation theory of Hecke algebras and quantum groups

V.Ginzburg, Lectures on Nakajima's quiver varieties

E.Frenkel, Lectures on the Langlands Program and Conformal Field Theory

R.Baxter Exactly Solved Models in Statistical mechanics

A.Molev, Yangians and their applications

A.Molev, M.Nazarov and G.Olshanskii, Yangians and classical Lie algebras