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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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LatLRR for subspace clustering via reweighted Frobenius norm minimization
Expert Systems With Applications, 2023Xiaoman Liu, Zhi Wang
exaly
Affine Weyl group symmetries of Frobenius Painlevé equations
Mathematical Methods in the Applied Sciences, 2020Haifeng Wang, Chuanzhong Li
exaly
Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
SIAM Journal on Matrix Analysis and Applications, 2010Yuning Yang, Qingzhi Yang
exaly
Connections Between Nuclear-Norm and Frobenius-Norm-Based Representations
IEEE Transactions on Neural Networks and Learning Systems, 2018Xi Peng, Huajin Tang
exaly
Identities involving Frobenius–Euler polynomials arising from non-linear differential equations
Journal of Number Theory, 2012Taekyun Kim
exaly
The Frobenius–Virasoro algebra and Euler equations
Journal of Geometry and Physics, 2014Dafeng Zuo
exaly