Vorlesung Representation Theory II:  

Quantum groups: representation theory with connections to knot theory and canonical bases

This lecture course gives an introduction into the theory of quantum groups, crystal bases and explains connection to knot theory.

Prerequisites:
Familiarity with representation theory, basic facts on the representation theory of semisimple Lie algebras

Exercise Sheets

• Sheet 1

• Sheet 2

• Sheet 3

• Sheet 4

• Sheet 5

• Sheet 6

• Sheet 7

• Sheet 8

• Sheet 9

• Sheet 10

• Sheet 11

• Sheet 12

• Sheet 13

Literatur:

J.C. Jantzen: Lectures on Quantum groups

G. Lustzig: Introduction to Quantum groups

A. Pressley: Quantum groups and Lie theory

J. Fuchs: Affine Lie algebras and quantum groups

100. C. Kassel, Quantum Groups, Graduate Texts in Mathematics 155, Springer Verlag.

101. Kassel, M. Rosso, V. Turaev, Quantum groups and knot invariants, Panoramas et Syntheses, no. 5 (1997), Societe Mathematique de France, ISBN 2-85629-055-8.