4 citations · 4 across the 4 of their papers we have counts for
5 papers
Tableau models for semi-infinite Bruhat order and level-zero representations of quantum affine algebras
Motohiro Ishii
We prove that semi-infinite Bruhat order on an affine Weyl group is completely determined from those on the quotients by affine Weyl subgroups associated with various maximal (stan…
Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras
Motohiro Ishii, Satoshi Naito, Daisuke Sagaki
We introduce semi-infinite Lakshmibai-Seshadri paths by using the semi-infinite Bruhat order (or equivalently, Lusztig's generic Bruhat order) on affine Weyl groups in place of the…
Automorphisms of Niemeier lattices for Miyamoto's -orbifold construction
Motohiro Ishii, Daisuke Sagaki, Hiroki Shimakura
We classify, up to conjugation, all automorphisms of Niemeier lattices to which we can apply Miyamoto's orbifold construction. Using this classification, we prove that the VOAs obt…
Demazure Character Formulas for Generalized Kac--Moody Algebras
Motohiro Ishii
For a dominant integral weight , we introduce a family of -submodules of the irreducible highest weight -module $V(…
Path Model for Representations of Generalized Kac--Moody Algebras
Motohiro Ishii
We show that Joseph-Lamprou's path model for representations of generalized Kac-Moody algebras can be embedded into Littelmann's path model for certain Kac-Moody algebras. Using th…