中島 俊樹

Let G = Sp2r (C) be a simply connected simple algebraic group over C of type Cr , B and B its two opposite Borel subgroups, and W the associated Weyl group. For u, v W, it is known that the coordinate ring C[Gu,v] of the double Bruhat cell Gu,v = ...

Let C be a simply connected simple algebraic group over C, B and B_ be two opposite Borel subgroups in C and W be the Weyl group. For u, v is an element of W, it is known that the coordinate ring C[C-u,C- v] of the double Bruhat cell C-u,C- v = Bu...

We shall describe explicitly the decoration functions for certain decorated geometric crystals of classical groups and we shall show that they are represented in terms of monomial realizations of crystal bases. (C) 2013 Elsevier Inc. All rights re...