Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients
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- title
- Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients
- author
- Schreiber, Amelie
- 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
- 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
- type
- Thesis