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Kenya '05 |
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East African
School 2004 |

East African Summer School in Representation Theory with connections to Geometry and Combinatorics

July 4-16, 2005

Mombasa, Kenya

List of participants and affiliations

During the first week, the morning lectures covered the basics of the combinatorics of tableaux and symmetric functions. The following are the notes from that session as well as the three assignments which followed that material.

Notes on tableaux

Notes on symmetric functions

exercises 1, exercises 2, exercises 3

During the second week the morning lectures covered an introduction to representation theory of finite groups and symmetric functions. There were two problem sets which were related to this material.

Notes on representation theory of finite groups - 1, 2, 3, 4, 5

exercises 1, exercises 2

There were two different subjects for the afternoon sessions. The following links are to the notes for these lectures.

- Invariant theory of finite groups - Notes on invariants/coinvariants
- Elements of invariant theory - Notes on finite generation of polynomial invariants

About MuPad

Computer exercises 2, 3, 4, 5, 6

Quiz 1

Quiz 2

The following is a short list of computer algebra software that are available (essentially) free that can do computations related to material covered in this course.

- GAP - A
system for computational discrete algebra

- Singular - A
computer algebra system for polynomial computations

- MuPad - A system for
doing symbolic and exact algebraic computations

- CoCoA - Computations in Commutative Algebra

- Macaulay 2 - A system devoted to supporting research in algebraic geometry and commutative algebra