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    Representations of Algebras: Some Computational Aspects

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    Genre
    Thesis/Dissertation
    Date
    2019
    Author
    Rhoads, Kyle James
    Advisor
    Letzter, E. S. (Edward S.), 1958-
    Committee member
    Dolgushev, Vasily
    Lorenz, Martin, 1951-
    Department
    Mathematics
    Subject
    Mathematics
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/2237
    
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    DOI
    http://dx.doi.org/10.34944/dspace/2219
    Abstract
    Let n ϵ Z≥1 and R be a finitely presented k-algebra over a computable field k. We describe algorithms for computably deciding representation-theoretic properties of R, following work by Letzter. Among these algorithms is an algorithm deciding whether an n-dimensional irreducible representation exists. We also provide a package, finitely-presented-algebra, which implements these algorithms into the computer algebra system SAGE.
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