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Finite dimensional Frobenius–Perron algebras
Journal of Algebra and Its ApplicationsMotivated by the Frobenius–Perron (FP) theory of endofunctors of a [Formula: see text]-linear category, we introduce the notion of a FP algebra. This notion can be seen as a generalization of a fusion algebra, and is related to the PP theory of endofunctors of the categories of finite dimensional representations of Taft algebras. Our main result is to
Yongjun Xu, Yikun Liu
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Frobenius Algebras and Their Quivers
Canadian Journal of Mathematics, 1978This paper studies the construction of Frobenius algebras. We begin with a description of when a graded -algebra has a Frobenius algebra as a homomorphic image. We then turn to the question of actual constructions of Frobenius algebras. We give a, method for constructing Frobenius algebras as factor rings of special tensor algebras.
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A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra
Journal of Algebra, 2021Satoshi
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The Frobenius–Virasoro algebra and Euler equations
Journal of Geometry and Physics, 2014Dafeng Zuo
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Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy
Journal of Mathematical Physics, 2015Ian A B Strachan, Dafeng Zuo
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The Principal Element of a Frobenius Lie Algebra
Letters in Mathematical Physics, 2009Murray Gerstenhaber, Anthony Giaquinto
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Khovanov homology and diagonalizable Frobenius algebras
Journal of Knot Theory and Its Ramifications, 2020Paul Turner
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