REVIEW 1 cited by
Representation theoretic realization of non-symmetric Macdonald polynomials at infinity
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We study the nonsymmetric Macdonald polynomials specialized at infinity from various points of view. First, we define a family of modules of the Iwahori algebra whose characters are equal to the nonsymmetric Macdonald polynomials specialized at infinity. Second, we show that these modules are isomorphic to the dual spaces of sections of certain sheaves on the semi-infinite Schubert varieties. Third, we prove that the global versions of these modules are homologically dual to the level one affine Demazure modules.
Forward citations
Cited by 1 Pith paper
-
Demazure slices of type $A_{2l}^{(2)}$
For the affine Lie algebra A(2)2l, global Weyl modules are filtered by Demazure slices, the character of a Demazure slice is a nonsymmetric Macdonald-Koornwinder polynomial divided by its norm, and global Weyl modules...
Discussion (0). Continue with ORCID to comment.