2
$\begingroup$

I was wondering what are some standard general references/books/survey articles about: (1) crystal bases, and string parameterizations and (2) Demazure modules, and Schubert varieties (containing basic definitions and proofs of most of the basic statements). I need to cite some general references on these subjects in a paper of mine.

Improve this question
$\endgroup$
3
  • 2
    $\begingroup$ This is really a broad question (and needs more tags such as rt.representation-theory and reference-request). There are lots of sources but with different emphases. For instance, Hong-Kang, Introduction to Quantum Groups and Crystal Bases, GSM 42, AMS, 2002. And a relevant book by Kumar, etc. $\endgroup$
    – Jim Humphreys
    Commented Jul 22, 2014 at 13:24
  • $\begingroup$ Many thanks @JimHumphreys for the two references. $\endgroup$
    – Kiu
    Commented Jul 27, 2014 at 15:00
  • $\begingroup$ That's a good question! See Mason's paper, link.springer.com/article/10.1007%2Fs10801-008-0133-4 where she works out the combinatorics for Demazure characters, using skyline fillings. The crystal operators are quite easy to do on these. $\endgroup$
    – Per Alexandersson
    Commented Oct 17, 2015 at 21:13

0

Reset to default

You must log in to answer this question.