Text

• Lecture 1 (pages 1-8)
  • 0. Recollections: Vector Spaces.
  • 1. Vector spaces with two chains of subspaces.
  This includes Exercises 1 - 5.
• Lecture 2 (pages 9-14)
  • 1. Vector spaces with two chains of subspaces. Comments
  • 2. Quivers and representations of quivers
    Please note: The written version contains one additional definition not given in the oral presentation - that of the underlying graph of a quiver, see page 11, lines 12-16.
  This includes Exercise 6.
• Lecture 3 (pages 15-17)
  • 2. Quivers and representations of quivers (continued)
• Lecture 4 (pages 18-24)
  • 2. Quivers and representations of quivers (continued)
  • 3. Arms
• Lectures 5 and 6 (pages 25-37)
  • 3. Arms (continued)
  • 0. Recollections: Vector spaces (continued)
  • 4. Reflection functors
• Lecture 7 (pages 38-47)
  • 4. Reflection functors (continued)
  • 5. Iteration
  • 6. Star quivers with subspace orientation
• Lecture 8 (pages 48-59)
  • 6. Star quivers (continued)
  • 7. The Kronecker quiver
    The last page contains some further remarks (not covered in the lecture)
• Appendix (Part of Lecture 5) (pages 60-65)
  • Appendix 1. Subspace triples of vector spaces