Zobrazeno 1 - 10
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pro vyhledávání: '"Syu Kato"'
Autor:
Syu Kato
Publikováno v:
Forum of Mathematics, Pi, Vol 9 (2021)
We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch. We show that the formal model of a sem
Externí odkaz:
https://doaj.org/article/77f8b4de4ed94fca9f2ce8100e137d93
Autor:
Syu Kato
Publikováno v:
Indagationes Mathematicae. 33:255-278
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-Littlewood's $Q$-functions by Green [Trans. Amer. Math. Soc. (1955)].
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2020:181-216
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 infin
Publikováno v:
Communications in Mathematical Physics. 368:113-141
We construct a filtration on an integrable highest weight module of an affine Lie algebra whose adjoint graded quotient is a direct sum of global Weyl modules. We show that the graded multiplicity of each global Weyl module there is given by the corr
Autor:
Syu Kato
Publikováno v:
International Mathematics Research Notices. 2020:5401-5427
We explain that the Plücker relations provide the defining equations of the thick flag manifold associated to a Kac–Moody algebra. This naturally transplants the result of Kumar–Mathieu–Schwede about the Frobenius splitting of thin flag variet
Autor:
Syu Kato
Publikováno v:
Mathematische Annalen. 371:1769-1801
We provide a proof that every Schubert variety of a semi-infinite flag variety is projectively normal. This gives us an interpretation of a Demazure module of a global Weyl module of a current Lie algebra as the (dual) space of the space of global se
Autor:
Ivan Cherednik, Syu Kato
We consider expansions of products of theta-functions associated with arbitrary root systems in terms of nonsymmetric Macdonald polynomials at t = ∞ divided by their norms. The latter are identified with the graded characters of Demazure slices, so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04a25ca2dcb6e7d45aecde04850af092
Autor:
Syu Kato
We extend the definition of the Saito reflection functor of the Khovanov- Lauda-Rouquier algebras to symmetric Kac-Moody algebra case and prove that it defines a monoidal functor.
Comment: 18pp, v3: Added explanations and corrected typos. arXiv
Comment: 18pp, v3: Added explanations and corrected typos. arXiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da995f0c5f723b23b49e451a8aff2e05
Publikováno v:
Transformation Groups. 17:195-207
The purpose of this paper is to prove that the Mirkovic–Vilonen (MV) polytope corresponding to the tensor product of two arbitrary MV polytopes is contained, as a set, in the Minkowski sum of these two MV polytopes. This result generalizes the one
Publikováno v:
Inventiones mathematicae. 187:589-635
We address two fundamental questions in the representation theory of affine Hecke algebras of classical types. One is an inductive algorithm to compute characters of tempered modules, and the other is the determination of the constants in the formal