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25 votes
3 answers
6k views

Introductory References for Geometric Representation Theory

Would anyone be able to recommend text books that give an introduction to Geometric Representation Theory and survey papers that give an outline of the work that has been done in the field? I'm ...
Siddharth Venkatesh's user avatar
20 votes
7 answers
9k views

Elementary reference for algebraic groups

I'm looking for a reference on algebraic groups which requires only knowledge of basic material on the theory of varieties which you could find in, for example, Basic Algebraic Geometry 1 by ...
David Corwin's user avatar
  • 15.4k
13 votes
2 answers
3k views

Literature on the Springer resolution

Could you suggest me a basic reading list on the Springer resolution? Is there a textbook I can refer to? Or do I need to start with the original paper? Unfortunately googling for "Springer" and "...
12 votes
2 answers
3k views

A second course in the representation theory

I've read Etingof's and then Fulton-Harris' books about the representation theory ("Intrdouction to representation theory" and "Representation theory. A first course" respectively) and found their ...
11 votes
3 answers
2k views

Text for studying group representations in the context of (abstract) harmonic analysis

I would like to study elements of representation theory as I often encounter it when reading texts on harmonic analysis. I was therefore curious if someone could recommend a book for this. When ...
user avatar
8 votes
3 answers
1k views

Further reading in algebraic geometry

I recently finished reading W. Fulton's "Algebraic Curves" and also attended a lecture series on moduli spaces and am interested in learning about them as well. I looked for a few books to ...
6 votes
2 answers
2k views

Alternative or reprint of Carter's "Finite Groups of Lie Type: Conjugacy Classes and Complex Characters"

I would like to learn about character theory of finite groups of Lie type and some Deligne-Lusztig theory. The classic textbook on the subject seems to be Roger W. Carter's Finite Groups of Lie Type: ...
Gro-Tsen's user avatar
  • 32.5k
4 votes
5 answers
2k views

searching for text for studying representation theory

I'm a graduate student studying algebraic geometry. Recently, When I studying Hodge theory, I saw sl2-representation is used in Hodge theory. So I think that studying representation theory may be ...
3 votes
3 answers
598 views

First Explicit Irreducible Representations

Although the classification of simple Lie Algebras and their representations is fully understood, I wonder whether there is some book with exhaustive tables describing explicit irreducible ...
Jjm's user avatar
  • 2,091
1 vote
1 answer
1k views

Does it make sense that "Representations of groups over finite ring" ?

I am an undergrad student who wants to know about the representation theory over arbitrary finite fields or finite rings of characteristic p (p a prime). (called modular representation theory.) In ...
Lee's user avatar
  • 11
0 votes
0 answers
491 views

Linear Representations of the Groups

Does anyone know a good book on Linear Representations of the finite Groups which does not assumes a lot of background. Book which will be good to study for computer science and will cover all( at ...
user10118's user avatar