Sophia University

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20022005

most citedQuantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below

4 citations

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math.QA2004

Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

Toshiki Nakashima

We define geometric/unipotent crystal structure on unipotent subgroups of semi-simple algebraic groups. We shall show that in $A_{n}$ -case, their ultra-discretizations coincide with…

math.QA2003★ 1 cited

Geometric Crystals on Schubert Varieties

Toshiki Nakashima

We define geometric crystals and unipotent crystals for arbitrary Kac-Moody groups and describe geometric and unipotent crystal structures on the Schubert varieties.

math.QA2002

Extremal Projectors of q-Boson Algebras

Toshiki Nakashima

We define the extremal projector of the $q$ -boson Kashiwara algebra $B_{q} (\geq)$ and study their basic properties. Applying their proerties to the representation theory of the catego…