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Categories of Weight Modules for Unrolled Quantum Groups and Connections to Vertex Operator Algebras
DownloadFall 2020
Recently, numerous connections between the categories of modules $\mathrm{Rep}{\langle s \rangle} \mcM(r)$ for the singlet vertex operator algebra $\mcM(r)$ and $\mathrm{Rep}{wt}\overline{U}q^H(\mathfrak{sl}2)$ for the unrolled restricted quantum group $\overline{U}q^H(\mathfrak{sl}2)$ at $2r$-th...
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Fall 2016
Little is known about Vertex Operator Algebras (VOAs) which are neither semi-simple nor rational, and most of the work on such VOAs has been focused around specific examples such as the Singlet VOA. In this thesis, the relationship between subcategories of the module categories of the Singlet VOA...
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2001
We give an answer to the question as to whether quantifier elimination is possible in some infinite algebraic extensions of QpQp ('infinite p-adic fields') using a natural language extension. The present paper deals with those infinite p-adic fields which admit only tamely ramified algebraic...