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Article overview
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Taft algebra actions on path algebras of quivers | Ryan Kinser
; Chelsea Walton
; | Date: |
28 Oct 2014 | Abstract: | We classify Hopf actions of Taft algebras T(n) on path algebras of quivers,
in the setting where the quiver is loopless, finite, and Schurian. As a
corollary, we see that every quiver admitting a non-trivial Z_n-action (by
directed graph automorphisms) also admits inner faithful actions of a Taft
algebra. Several examples for actions of the Sweedler algebra T(2) and for
actions of T(3) are presented in detail. | Source: | arXiv, 1410.7696 | Services: | Forum | Review | PDF | Favorites |
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