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Mixed Hodge structures on character varieties of nilpotent groups. [PDF]
Rev Mat ComplutFlorentino C, Lawton S, Silva J.
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Ample semigroups and Frobenius algebras
Semigroup Forum, 2015Contracted semigroup algebras \(K_0[S]\) of ample semigroups \(S\) over a field \(K\) are considered. It is shown that, if \(K_0[S]\) is right self-injective then \(S\) must be a finite inverse semigroup. Hence, this algebra is also left self-injective and it is a Frobenius algebra.
Guo, Xiaojiang, Shum, K. P.
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Communications in Contemporary Mathematics, 2010
In this note, we extend the idea of G-Frobenius algebras (G-FAs) for G a finite group to the case where G is replaced by a finite groupoid. These new structures, which we call groupoid Frobenius algebras, have twists that are entirely analogous to the universal G-FA twists by Z2(G, k×).
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In this note, we extend the idea of G-Frobenius algebras (G-FAs) for G a finite group to the case where G is replaced by a finite groupoid. These new structures, which we call groupoid Frobenius algebras, have twists that are entirely analogous to the universal G-FA twists by Z2(G, k×).
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The Annals of Mathematics, 1959
An algebra A, with identity, finite dimensional over a field K, in which the right regular representation is equivalent to the left regular representation, is called a Frobenius algebra. Through the years these and related algebras have been thoroughly studied by a number of authors [1, 4, 5, 12, 13, 14, 15, 16, 17]; outstanding among such works are ...
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An algebra A, with identity, finite dimensional over a field K, in which the right regular representation is equivalent to the left regular representation, is called a Frobenius algebra. Through the years these and related algebras have been thoroughly studied by a number of authors [1, 4, 5, 12, 13, 14, 15, 16, 17]; outstanding among such works are ...
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Frontiers of Mathematics in China, 2019
The notion of Poisson algebra and Frobenius algebra together coincides with that of Frobenius Poisson algebra and it is the main study of the paper under review. In that, relations between generalizing unimodular Poisson algebras and their cohomology algebras by Rham 1-cocycle and modular derivation with the support of Batalin-Vilkovisky algebras are ...
Luo, Juan +2 more
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The notion of Poisson algebra and Frobenius algebra together coincides with that of Frobenius Poisson algebra and it is the main study of the paper under review. In that, relations between generalizing unimodular Poisson algebras and their cohomology algebras by Rham 1-cocycle and modular derivation with the support of Batalin-Vilkovisky algebras are ...
Luo, Juan +2 more
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Quasi-Frobenius Amalgamated Algebras
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Frontiers of Mathematics in China, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhihua, Li, Libin
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhihua, Li, Libin
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1994
The duality which exists between the categories of the right and left modules plays an important role in the theory of finite dimensional algebras. In the present chapter we shall introduce this duality, investigate its properties and apply the obtained results to the study of two classes of algebras, viz.
Yurij A. Drozd, Vladimir V. Kirichenko
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The duality which exists between the categories of the right and left modules plays an important role in the theory of finite dimensional algebras. In the present chapter we shall introduce this duality, investigate its properties and apply the obtained results to the study of two classes of algebras, viz.
Yurij A. Drozd, Vladimir V. Kirichenko
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Forum Mathematicum, 2000
A Frobenius group \(G\) with Frobenius complement \(H\) is an algebraic group \(G\), which has a non-trivial closed subgroup \(H\) such that \(H\cap xHx^{-1}=e\) for any \(x\in G\setminus H\). In the case that the ground field is algebraically closed, the author gives a representation of Frobenius groups with infinite complement and some answers in the
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A Frobenius group \(G\) with Frobenius complement \(H\) is an algebraic group \(G\), which has a non-trivial closed subgroup \(H\) such that \(H\cap xHx^{-1}=e\) for any \(x\in G\setminus H\). In the case that the ground field is algebraically closed, the author gives a representation of Frobenius groups with infinite complement and some answers in the
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2013
Monoidal categories have proven to be especially useful in the analysis of both algebraic structures such as associative algebras and geometric structures such as knots and braids. In this paper, we consider Frobenius algebras. These are algebraic structures consisting of an associative algebra and a coassociative coalgebra, satisfying a compatibility ...
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Monoidal categories have proven to be especially useful in the analysis of both algebraic structures such as associative algebras and geometric structures such as knots and braids. In this paper, we consider Frobenius algebras. These are algebraic structures consisting of an associative algebra and a coassociative coalgebra, satisfying a compatibility ...
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