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Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients

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abstract
Using Schofield semi-invariants, and showing a correspondence between weight spaces of semi-invariant rings for a special class of quivers, and the Littlewood-Richardson coefficients, we show that the space of Littlewood-Richardson numbers is saturated, i.e. if $c_{N \lambda, N \mu}^{N \nu} \neq 0$ then $c_{\lambda, \mu}^{\nu} \neq 0$, by showing that weights $\sigma \in \Sigma(Q, \beta)$ are saturated.
subject
Algebraic Combinatorics
Algebraic Geometry
Littlewood-Richardson Coefficients
Quiver Representations
Representation Theory
Schofield Semi-invariants
contributor
Schreiber, Amelie (author)
Kirkman, Ellen (committee chair)
Moore, Frank (committee member)
Rouse, Jeremy (committee member)
date
2015-06-23T08:35:38Z (accessioned)
2015-06-23T08:35:38Z (available)
2015 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/57108 (uri)
language
en (iso)
publisher
Wake Forest University
title
Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients
type
Thesis

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