Timeline for Openly available software to work with Demazure modules
Current License: CC BY-SA 4.0
3 events
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| Mar 13, 2019 at 20:23 | comment | added | Per Alexandersson | Well, there is the non-symmetric Macdonald polynomials for other types (see e.g., Ram and Yip for a combinatorial formula), and these are expressed using the terminology of roots and highest weight. I am not an expert on the 'root' side of these things, I would love to see a good reference that connected the two. | |
| Mar 13, 2019 at 12:07 | comment | added | Igor Makhlin | Thanks! By the way, recently I ran into a bit of a terminology conflict in the literature. Many sources use the term "Demazure polynomial" to denote the same thing as your "key polynomial", i.e. a type A Demazure character. But others (including en.wikipedia.org/wiki/Demazure_module) use it to denote a polynomial in the highest weight expressing the dimension of a Demazure module. What's your take on this, have you ever encountered this second terminology? | |
| Mar 13, 2019 at 7:29 | history | answered | Per Alexandersson | CC BY-SA 4.0 |