Affine quantum groups. 2021

Plan of the course.
  1. Quantum groups (quick review). Notes (updated 05.11.2021).
  2. Affine Lie algebras, affine Weyl groups Notes (updated 28.09.2021).
  3. Affine Lie algebras, representations.
  4. Affine quantum sl(2), PBW generators. Notes (updated 15.02.2022).
  5. Affine quantum sl(2), new Drinfeld realization. Notes (updated 15.02.2022).
  6. Factorization of R matrix. Notes (updated 13.12.2021).
  7. RLL realization for affine sl(2). Notes (updated 15.02.2022).
  8. Finite dimensional representations of affine sl(2). Notes (updated 25.12.2021).
  9. q-characters for affine sl(2). Notes (updated 25.12.2021).
  10. q-characters Notes (updated 28.11.2021).
  11. Schur-Weyl duality. Hecke algebras. Notes (updated 28.12.2021).
  12. Semi-infinite construction Notes (updated 28.12.2021).
  13. Bosonization, vertex operators Notes (updated 13.12.2021).
  14. Baxter subalgebras, XXZ model. KZ integrals. Bether ansantz.
  15. q-characters from Baxter subalgebras. TQ relations.

Problems (updated 15.02.2022).

Recordings of the lectures. playlist.



Materials of 2020 year course