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University of Wisconsin – Milwaukee

1. Yee, Daniel Owen. Extensions of Enveloping Algebras Via Anti-cocommutative Elements.

Degree: PhD, Mathematics, 2017, University of Wisconsin – Milwaukee

We know that given a connected Hopf algebra H, the universal enveloping algebra U(P(H)) embeds in H as a Hopf subalgebra. Depending on P(H), we show that there may be another enveloping algebra (not as a Hopf subalgebra) within H by using anti-cocommutative elements. Thus, this is an extension of enveloping algebras with regards to the Hopf structure. We also use these discoveries to apply to global dimension, and finish with antipode behavior and future research projects. Advisors/Committee Members: Allen D. Bell.

Subjects/Keywords: Anti-cocommutative; Connected Algebra; Enveloping Algebra; Global Dimension; HOPF Algebra; Non-commutative Algebra; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Yee, D. O. (2017). Extensions of Enveloping Algebras Via Anti-cocommutative Elements. (Doctoral Dissertation). University of Wisconsin – Milwaukee. Retrieved from https://dc.uwm.edu/etd/1728

Chicago Manual of Style (16th Edition):

Yee, Daniel Owen. “Extensions of Enveloping Algebras Via Anti-cocommutative Elements.” 2017. Doctoral Dissertation, University of Wisconsin – Milwaukee. Accessed July 10, 2020. https://dc.uwm.edu/etd/1728.

MLA Handbook (7th Edition):

Yee, Daniel Owen. “Extensions of Enveloping Algebras Via Anti-cocommutative Elements.” 2017. Web. 10 Jul 2020.

Vancouver:

Yee DO. Extensions of Enveloping Algebras Via Anti-cocommutative Elements. [Internet] [Doctoral dissertation]. University of Wisconsin – Milwaukee; 2017. [cited 2020 Jul 10]. Available from: https://dc.uwm.edu/etd/1728.

Council of Science Editors:

Yee DO. Extensions of Enveloping Algebras Via Anti-cocommutative Elements. [Doctoral Dissertation]. University of Wisconsin – Milwaukee; 2017. Available from: https://dc.uwm.edu/etd/1728

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