8 citations · 20 across the 12 of their papers we have counts for
12 papers
Poset Structure concerning Cylindric Diagrams
Kento Nakada, Takeshi Suzuki, Yoshitaka Toyosawa
The purpose of the present paper is to give a realization of a cylindric diagram as a subset of root systems of type and several characterization of its poset struc…
On Hook Formulas for Cylindric Skew Diagrams
Takeshi Suzuki, Yoshitaka Toyosawa
We present a conjectual hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula f…
Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type A
Masanori Ando, Takeshi Suzuki, Hiro-Fumi Yamada
A -analogue of combinatorics concerning the Cartan matrix for the Iwahori-Hecke algebra of type is investigated. We give several descriptions for the determinant of the grad…
Cylindrical Combinatorics and Representations of Cherednik Algebras of type A
Takeshi Suzuki
We investigate the representation theory of the rational and trigonometric Cherednik algebra of type by means of combinatorics on periodic (or cylindrical) skew diagrams. We…
Double affine Hecke algebras, conformal coinvariants and Kostka polynomials
Takeshi Suzuki
We study a class of representations called ``calibrated representations'' of the degenerate double affine Hecke algebra and those of the rational Cherednik algebra of type ${\mathr…
Rational and trigonometric degeneration of the double affine Hecke algebra of type
Takeshi Suzuki
We study a connection between the representation theory of the rational Cherednik algebra of type and the representation theory of the degenerate double affine Hecke algebra…