Results 31 to 40 of about 24,029 (191)
Meander graphs and Frobenius Seaweed Lie algebras [PDF]
, 2011 The index of a seaweed Lie algebra can be computed from its associated meander graph. We examine this graph in several ways with a goal of determining families of Frobenius (index zero) seaweed algebras.
Dergachev +6 more
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Russian Mathematical Surveys, 2023 In this paper, we introduce the notion of cyclic Frobenius algebras (CF-algebras). Canonical structures of CF-algebras exist on associative and Poisson algebras. It turns out that the modern theory of integrable systems yields non-trivial examples of CF-algebras.
Buchstaber, V. M., Mikhailov, A. V.
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A Class of Non-Hopf Bi-Frobenius Algebras Generated by n Elements
MathematicsBi-Frobenius algebras are a class of Frobenius algebras and Frobenius coalgebras with some compatible conditions. In this paper, we construct a class of bi-Frobenius algebras generated by n elements on graded algebra A.
Zhan Fa, Yanhua Wang
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Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5
Jambura Journal of MathematicsIn this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 5 into quasi ...
Putri Nisa Pratiwi +2 more
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Hom-O-Operators and Hom-Yang-Baxter Equations
Advances in Mathematical Physics, 2015 In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
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Frontiers in Physics, 2017 Compact Closed categories and Frobenius and Bi algebras have been applied to model and reason about Quantum protocols. The same constructions have also been applied to reason about natural language semantics under the name: “categorical distributional ...
Mehrnoosh Sadrzadeh
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A Study of Entanglement in a Categorical Framework of Natural Language [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 In both quantum mechanics and corpus linguistics based on vector spaces, the notion of entanglement provides a means for the various subsystems to communicate with each other.
Dimitri Kartsaklis, Mehrnoosh Sadrzadeh
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Journal of Algebra, 2003 The paper under review studies Frobenius factor algebras of finite dimensional algebras. Let \(D(\Lambda)\) be the \(K\)-dual of a finite dimensional \(K\)-algebra \(\Lambda\). Then \(D(\Lambda)\) becomes naturally a left and right \(\Lambda\)-module.
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Boundary Hamiltonian theory for gapped topological phases on an open surface
Journal of High Energy Physics, 2018 In this paper we propose a Hamiltonian approach to gapped topological phases on open surfaces. Our setting is an extension of the Levin-Wen model to a 2d graph on an open surface, whose boundary is part of the graph.
Yuting Hu +4 more
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A Topological Perspective on Interacting Algebraic Theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum computation.
Amar Hadzihasanovic
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