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Combinatorial representation theory of affine sl2 via polytope calculus

Posted on:2011-01-19Degree:Ph.DType:Dissertation
University:Northwestern UniversityCandidate:Dunlap, Thomas Rough, IIFull Text:PDF
GTID:1448390002464125Subject:Mathematics
Abstract/Summary:
We propose a polytope calculus for Lsl2 and some calculations to justify its correctness as well as a conjecture about the existence and uniqueness of such calculi for all Kac-Moody Lie algebras.
Keywords/Search Tags:Polytope calculus
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