Degree Type
Honors Capstone Project
Date of Submission
Spring 5-1-2018
Capstone Advisor
Mark Kleiner
Honors Reader
Steven Diaz
Capstone Major
Mathematics
Capstone College
Arts and Science
Audio/Visual Component
no
Capstone Prize Winner
no
Won Capstone Funding
no
Honors Categories
Sciences and Engineering
Subject Categories
Mathematics | Other Mathematics | Physical Sciences and Mathematics
Abstract
The paper "Coxeter Functors and Gabriel's Theorem" written by I.N. Bernstein, I.M. Gel'fand, and V.A. Ponomarev explores the concept of reflection functors. A thorough proof of several results used by Bernstein et al in their paper is presented. The focus is on the category of representations and reflection functors, both negative and positive. The quadratic form is the bridge between the results on quivers and the techniques of Lie algebras. The Dynkin diagrams mentioned in Gabriel's Theorem are discussed.
Recommended Citation
Van Niel, Danika, "Reflection Functors in the Representation Theory of Quivers" (2018). Renée Crown University Honors Thesis Projects - All. 1164.
https://surface.syr.edu/honors_capstone/1164
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
