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ETD_Thesis Final Submission.pdf (749.2 KB)
ETD Abstract Container
Abstract Header
Linear Algebra on the Lie Algebra on Two Generators
Author Info
Webb, Sarah
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1668014101274088
Abstract Details
Year and Degree
2022, Master of Arts (MA), Bowling Green State University, Mathematics/Mathematics (Pure).
Abstract
In this thesis, we study the free Lie algebra on two generators and a deformation of the free Lie bracket. Our goal is a hands-on derivation of relations which this deformed Lie bracket satisfies. The technical achievement that makes this possible is the identification of a basis for where the relations occur. Using that basis, we verify and extend the calculations found in Schneps (2006). An interesting connection to the Euler polynomials is also discussed.
Committee
Benjamin Ward, Ph.D. (Committee Chair)
Mihai Staic, Ph.D. (Committee Member)
Pages
51 p.
Subject Headings
Mathematics
Keywords
Lie algebra
;
free Lie algebra on two generators
;
linear algebra
;
Euler polynomials
;
deformed Lie bracket
;
derivations
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Refworks
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Citations
Webb, S. (2022).
Linear Algebra on the Lie Algebra on Two Generators
[Master's thesis, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1668014101274088
APA Style (7th edition)
Webb, Sarah.
Linear Algebra on the Lie Algebra on Two Generators.
2022. Bowling Green State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1668014101274088.
MLA Style (8th edition)
Webb, Sarah. "Linear Algebra on the Lie Algebra on Two Generators." Master's thesis, Bowling Green State University, 2022. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1668014101274088
Chicago Manual of Style (17th edition)
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Document number:
bgsu1668014101274088
Download Count:
111
Copyright Info
© 2022, some rights reserved.
Linear Algebra on the Lie Algebra on Two Generators by Sarah Webb is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Bowling Green State University and OhioLINK.