HILBERT BASES, DESCENT STATISTICS, AND COMBINATORIAL SEMIGROUP ALGEBRAS

HILBERT BASES, DESCENT STATISTICS, AND COMBINATORIAL SEMIGROUP ALGEBRAS

The broad topic of this dissertation is the study of algebraic structure arising from polyhedral geometric objects. There are three distinct topics covered over three main chapters. However, each of these topics are further linked by a connection to the Eulerian polynomials. Chapter 2 studies Euler-...

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Bibliographic Details
Main Author: Olsen, McCabe J.
Format: Others
Published: UKnowledge 2018
Subjects:
Ehrhart theory
lecture hall partitions
descent statistics
major index statistics
Gröebner basis
Hilbert basis
Discrete Mathematics and Combinatorics
Online Access:https://uknowledge.uky.edu/math_etds/52
https://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1054&context=math_etds

Internet

https://uknowledge.uky.edu/math_etds/52
https://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1054&context=math_etds

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