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The flag manifold over the semifield $\bf Z$
by G. Lusztig

Vol. 15 No. 1 (2020) P.63~P.92
 DOI: https://doi.org/10.21915/BIMAS.2020105 10.21915/BIMAS.2020105

ABSTRACT

Let $G$ be a semisimple group over the complex numbers. We show that the flag manifold $\mathcal{B}$ of $G$ has a version ${\mathcal B}(\bf Z)$ over the tropical semifield $Z$ on which the monoid $G(Z)$ attached to $G$ and $Z$ acts naturally.

KEYWORDS

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary:

MILESTONES