Work

Hopf actions of Bosonizations on path algebras of quivers

Year: 2025

Type: article

Abstract: In this dissertation we continue work of Kinser and Oswald \cite{kinser2021hopf} which classified Hopf actions of several families of Hopf algebras related to $U_q(\mathfrak{sl}_2)$ on path algebras of quivers, restricting attention to actions which preserve the ascending filtration of the path algebra by path length. In particular, we use their results on actions of Taft algebras to study actions of Bosonizations of quantum linear space with the group algebras, denoted $B:=\mathcal{R}(g_1,...,g_\theta,\chi_1,...,\chi_\theta)\#\kk G$. For these Bosonizations, we follow the exposition of Cline and Gaddis \cite{cline2020actions}.

Source: Iowa Research Online (The University of Iowa)

DOI: 10.25820/etd.008024

Author: Del Real Ramos, Kevin

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7077154711

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