NCMW Combinatorial models in Representation Theory (04th - 16th Nov, 2019)

The Institute of Mathematical Sciences
CIT Campus Taramani
Chennai 600113


Schedule of sessions

Videos of the lectures

List of references:

  1. W. Fulton and J. Harris: Representation theory, a first course.
  2. J. Humphreys: An introduction to Lie algebras and representation theory.
  3. D. Bump and A. Schilling: Crystal Bases: Representations and Combinatorics
  1. Amritanshu Prasad: An Introduction to Schur Polynomials.
  2. Lascoux, Leclerc and Thibon: The plactic monoid, in M. Lothaire, Algebraic combinatorics on words, vol. 90 of Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, 2002.
  3. Lascoux, Leclerc and Thibon: Hecke algebras at roots of unity and crystal bases of quantum affine algebras, in Communications in Mathematical Physics, 181 (1996), pp 205--263.
  4. P. Littelmann: Paths and root operators in representation theory, Annals of Mathematics 142, 1995, pp. 499--525.
  5. P. Littelmann: A Littlewood-Richardson type rule for symmetrizable Kac-Moody algebras, Inventiones mathematicae 116 (1994)
  6. P. Littelmann: Characters of representations and paths in $h_R^*$, Proceedings of Symposia in Pure Mathematics 61, (1997), pp. 29--49.
  7. A. Lascoux and MP Schutzenberger: Keys and Standard bases, in Institute for Mathematics and Its Applications, Vol. 19, p.125 (Editor D. Stanton)
  8. A. Joseph,Modules with a Demazure flag, in: Studies in Lie theory, vol. 243 of Progr. Math., Birkhauser, Boston, MA, 2006, pp. 131-169