Valuations from representation theory and tropical geometry
Combinatorics
2010-06-17 v3 Commutative Algebra
Abstract
We recall the space of seminorms discussed by Payne in \cite{P} and define a slight modification, the space of graded valuations. After explaining how these spaces relate to tropical geometry, we describe examples of graded valuations which come from the representation theory of reductive groups.
Cite
@article{arxiv.1006.0038,
title = {Valuations from representation theory and tropical geometry},
author = {Christopher Manon},
journal= {arXiv preprint arXiv:1006.0038},
year = {2010}
}
Comments
16 pages, updated works cited, added new theorem in section 5