Computation of the E-Polynomial

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Table of contents

I Introduction 
I.1 Character Varieties
I.2 Character Table of GLn(q) o<>
II Preliminaries on Representations and Algebraic Groups 
II.1 Notations and Generalities
II.2 Finite Classical Groups
II.3 Non-Connected Algebraic Groups
II.4 Generalised Deligne-Lusztig Induction
II.5 The Group GLn(k) o Z=2Z
III Character Varieties with Non-Connected Structure Groups 
III.1 G o 􀀀-Character Varieties
III.2 Irreducibility and Semi-Simplicity
III.3 Flat Connections
III.4 Monodromy on Riemann Surfaces
III.5 Double Coverings
IV The Character Table of GLn(q) o<> 
IV.1 Parametrisation of Characters
IV.2 Parametrisation of Conjugacy Classes
IV.3 Shintani Descent
IV.4 Character Sheaves
IV.5 Extensions of -Stable Characters
IV.6 The Formula
V E-polynomial of GLn(C) o<>-Character Varieties 
V.1 The Point-Counting Formula
V.2 Symmetric Functions Associated to Wreath Products
V.3 Miscellany of Combinatorics
V.4 Computation of the E-Polynomial
V.5 Examples
A Character Tables in Low Ranks 
Bibliography