Dissertation/Thesis Abstract

Full heaps over Dynkin diagrams of type affine Ā
by McGregor-Dorsey, Zachary Strider, M.A., University of Colorado at Boulder, 2008, 64; 1464557
Abstract (Summary)

A full heap is an infinite partially ordered set with labeling taken from the nodes of an underlying Dynkin diagram, satisfying certain conditions intended to capture the structure of that diagram. In the present thesis, we classify all full heaps over Dynkin diagrams of type Ā n. They are exactly the extended slant lattices defined by Hagiwara.

Indexing (document details)
Advisor: Green, Richard M.
Commitee: Thiem, Nathaniel
School: University of Colorado at Boulder
Department: Mathematics
School Location: United States -- Colorado
Source: MAI 47/05M, Masters Abstracts International
Subjects: Mathematics
Keywords: Algebraic combinatorics, Cyclic dynkin diagrams, Extended slant lattices, Full heaps, Heaps, Lie algebra
Publication Number: 1464557
ISBN: 978-1-109-14796-4
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