5 citations · 9 across the 12 of their papers we have counts for
12 papers
Glaisher combinatorics of regular partitions
Hiroshi Mizukawa, Hiro-Fumi Yamada
Extending the notion of -(class) regular partitions, we define -class regular partitions. A partition identity is presented and described by making use of the…
Schur function identities arising from the basic representation of
Hiroshi Mizukawa, Tatsuhiro Nakajima, Ryoji Seno +1
A Lie theoretic interpretation is given for some formulas of Schur functions and Schur -functions. Two realizations of the basic representation of the Lie algebra ar…
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…
Compound basis arising from the basic -module
Kazuya Aokage, Hiroshi Mizukawa, Hiro-Fumi Yamada
A new basis for the polynomial ring of infinitely many variables is constructed which consists of products of Schur functions and Q-functions. The transition matrix from the natura…
Compound basis for the space of symmetric functions
Kazuya Aokage, Hiroshi Mizukawa, Hiro-Fumi Yamada
The aim of this note is to introduce a compound basis for the space of symmetric functions. Our basis consists of products of Schur functions and -functions. The basis elements…
Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A_1^(1)
Takeshi Ikeda, Hiroshi Mizukawa, Tatsuhiro Nakajima +1
Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of "mixed" products of Schur's S- and Q-functions. Th…