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dc.contributor.author Vindas Melendez, Andres R.
dc.date.accessioned 2017-10-12T20:11:03Z
dc.date.available 2017-10-12T20:11:03Z
dc.date.issued 2017
dc.identifier.uri http://hdl.handle.net/10211.3/197219
dc.description.abstract Motivated by the generalization of Ehrhart theory with group actions, the first part of this thesis makes progress towards obtaining the equivariant Ehrhart theory of the permutahedron. The subset that is fixed by a group action on the permutahedron is itself a rational polytope. We prove that these fixed polytopes are combinatorially equivalent to lower dimensional permutahedra. Furthermore, we show that these fixed polytopes are zonotopes, i.e., Minkowski sum of line segments. This part is joint work with Anna Schindler. The second part of this thesis provides a decomposition of the /i*-polynomial for rational polytopes. This decomposition is an analogue to the decomposition proven by Ulrich Betke and Peter McMullen for lattice polytopes. en_US
dc.format.extent vii, 75 leaves en_US
dc.language.iso en_US en_US
dc.publisher San Francisco State University en_US
dc.rights Copyright by Andres R. Vindas Melendez, 2017 en_US
dc.source AS36 2017 MATH .V56
dc.title Two problems on lattice point enumeration of rational polytopes en_US
dc.type Thesis en_US
dc.contributor.department Mathematics en_US

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