61 citations · 243 across the 31 of their papers we have counts for
20 papers · 1 filter
Categorification of -Schur functions and refined Macdonald positivity
Syu Kato
We establish a substantial part of the categorification framework for -Schur functions proposed in Chen's Ph.D.\ thesis, written under the supervision of Mark Haiman. More preci…
Kostka polynomials of
Syu Kato
For each integers and , we prove an equivalence between the category of polynomial modules over a paraholic subalgebra of an affine Lie alge…
Higher level BGG reciprocity for current algebras
Syu Kato
We establish a higher-level analogue of the Bernstein--Gelfand--Gelfand (BGG) reciprocity for twisted current algebras at every positive integer level, extending the level-one resu…
Categorification of DAHA and Macdonald polynomials
Syu Kato, Anton Khoroshkin, Ievgen Makedonskyi
We describe a categorification of the Double Affine Hecke Algebra () associated with an affine Lie algebra , including…
Symmetric functions and Springer representations
Syu Kato
The characters of the (total) Springer representations are identified with the Green functions by Kazhdan [Israel J. Math. {\bf 28} (1977)], and the latter are identified with Hall…
Darboux coordinates on the BFM spaces
Syu Kato
Bezrukavnikov-Finkelberg-Mirković [Compos. Math. {\bf 141} (2005)] identified the equivariant -group of an affine Grassmannian, that we refer as (the coordinate ring of) a BFM s…