McGerty, Kevin - Department of Mathematics, Imperial College, London

• ALGEBRAIC GROUPS. LECTURE 6. KEVIN MCGERTY
• ALGEBRAIC GROUPS. LECTURE 7. KEVIN MCGERTY
• LINEAR REPRESENTATIONS: BASIC THEORY 1. LINEAR ACTIONS
• ON EVIDENCE FOR THE COMPATIBILITY OF THE CANONICAL BASIS AND THE QUANTUM FROBENIUS MORPHISM.
• MICROLOCAL KZ FUNCTORS AND RATIONAL CHEREDNIK ALGEBRAS. KEVIN MCGERTY
• SYMMETRIC GROUPS AND THE STEINBERG VARIETY. KEVIN MCGERTY
• ALGEBRAIC GROUPS. KEVIN MCGERTY
• ALGEBRAIC GROUPS. LECTURE 4. KEVIN MCGERTY
• ALGEBRAIC GROUPS. LECTURE 8. KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 9 KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 14 KEVIN MCGERTY
• APPENDIX: ALGEBRAIC VARIETIES. KEVIN MCGERTY
• GROUP REPRESENTATION THEORY: COURSE DESCRIPTION. KEVIN MCGERTY
• PROBLEM SET 1. Exercise 1.1. In class we gave the following axioms for a group: a group is a
• ASSESSED COURSEWORK. 1. SOLUTIONS
• LINEAR REPRESENTATIONS: SCHURS' LEMMA AND CHARACTER KEVIN MCGERTY
• LINEAR REPRESENTATIONS: INDUCTION AND RESTRICTION OF REPRESENTATIONS
• ALGEBRAIC GROUPS: LECTURE 20 KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 10 KEVIN MCGERTY
• PROBLEM SET 3. These exercises give examples for the material on induction and restriction and a
• ON THE INNER PRODUCT AND GEOMETRIC REALIZATION OF THE CANONICAL BASIS FOR QUANTUM AFFINE sln
• ALGEBRAIC GROUPS. LECTURE 2. KEVIN MCGERTY
• ON THE CENTER OF THE CYLCOTOMIC HECKE ALGEBRAS OF KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 19 KEVIN MCGERTY
• GROUP REPRESENTATION THEORY, IMPERIAL '09. KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 12 KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 11 KEVIN MCGERTY
• ENHANCED COURSEWORK. Let Sn be the symmetric group, and k an algebraically closed field which is
• ALGEBRAIC GROUPS: LECTURE 15 KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 18 KEVIN MCGERTY
• ALGEBRAIC GROUPS. LECTURE 3. KEVIN MCGERTY
• ALGEBRAIC GROUPS. LECTURE 5. KEVIN MCGERTY
• GROUPS AND GROUP ACTIONS. We begin by giving a definition of a group
• ASSESSED COURSEWORK. Justify all statements you make results proved in class should just be referred to, not
• MIDTERM: SOLUTIONS Attempt Section 1 and two question from Section 2.
• LINEAR REPRESENTATIONS: CHARACTER TABLES AND TENSOR KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 17 KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 15 KEVIN MCGERTY
• ALGEBRAIC GROUPS: LECTURE 13 KEVIN MCGERTY
• PROBLEM SET 2. Exercise 1.1. Suppose that : V V is a linear map, and V are the eigenspaces