ACTIONS OF PANSERA’S HOPF ALGEBRAS ON CUBIC AS REGULAR ALGEBRAS
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- title
- ACTIONS OF PANSERA’S HOPF ALGEBRAS ON CUBIC AS REGULAR ALGEBRAS
- author
- Wheeler, Jaxon Aren
- abstract
- In this paper, we aim to determine which cubic AS regular algebras are acted on by Pansera's family of Hopf Algebras $H_{2n^2}$. We begin by identifying the module decomposition of third tensor powers of inner-faithful modules over $H_{2n^2}$, which is dependent on whether $n = 2$ or $n > 2$. In the interest of searching for quartic AS regular algebras, we also decompose the fourth tensor powers of inner-faithful modules over $H_{2n^2}$ within each case mentioned above.
- contributor
- Moore, Frank (advisor)
- Kirkman, Ellen (committee member)
- Mason, Sarah (committee member)
- date
- 2025-06-24T08:36:29Z (accessioned)
- 2025-06-24T08:36:29Z (available)
- 2025 (issued)
- degree
- Mathematics (discipline)
- identifier
- http://hdl.handle.net/10339/111009 (uri)
- language
- en (iso)
- publisher
- Wake Forest University
- type
- Thesis