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Valuations from representation theory and tropical geometry

2010/06/01 by Christopher Manon, Manon, Christopher
Mathematics · #14T05 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:14T05

paper · pdf · doi:10.48550/arxiv.1006.0038

16 pages, updated works cited, added new theorem in section 5

arxiv created 2010/06/15 · arxiv updated 2010/06/17

Abstract

We recall the space of seminorms discussed by Payne in \citeP 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.

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