Quiver Algebras of Coverings and Twisted Tensor Products |
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| Authors: | Jon M Corson Thomas J Ratkovich |
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| Institution: | 1. Department of Mathematics , University of West Alabama , Livingston , AL , USA jcorson@as.ua.edu;3. Department of Mathematics , University of Alabama , Tuscaloosa , AL , USA |
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| Abstract: | Given a covering Γ of a quiver Δ, we show that the quiver algebra KΓ] of Γ over a field K is a twisted tensor product of the quiver algebra of the fibre of the covering viewed as a trivial quiver and the quiver algebra KΔ]. To make sense of this, we first extend the theory of twisted tensor products of algebras to include algebras without units. |
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| Keywords: | Bimodule Covering quiver Quiver algebra Twisting map Twisted tensor product |
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