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  • What Do Algebras Form?

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    Description:
    Algebras and their bimodules form a 2-category in which 2-morphisms are certain zero-th Hochschild cohomology groups. When we derive this structure (i.e., use Hochschild cochains instead of HH^0 for 2-morphisms), we find that algebras form a category in dg cocategories. The Hochschild-Kostant-Rosenberg theorem and non-commutative calculus give a rich algebraic...
    Keyword:
    Mathematics and Algebra
    Subject:
    Mathematics
    Creator:
    Ann Rebecca Wei
    Owner:
    Scholarly Digital Publishing
    Date Uploaded:
    03/13/2018
    Date Modified:
    03/13/2018
    Date Created:
    2017-01-01
    Resource Type:
    Dissertation