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Spectral Networks and Stability Conditions for Fukaya Categories with Coefficients. [PDF]
Haiden F, Katzarkov L, Simpson C.
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The Leavitt path algebra of a graph
For any row-finite graph $E$ and any field $K$ we construct the {\its Leavitt path algebra} $L(E)$ having coefficients in $K$. When $K$ is the field of complex numbers, then $L(E)$ is the algebraic analog of the Cuntz Krieger algebra $C^*(E)$ described in [8]. The matrix rings $M_n(K)$ and the Leavitt algebras L(1,n) appear as algebras of the form $L(E)
Gonzalo Aranda Pino
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On the centroid of a Leavitt path algebra
Abstract We describe the centroid of some Leavitt path algebras. More precisely, for Leavitt path algebras over a field $${{\mathbb {K}}}$$ K , we show that if the algebra is simple, then its centroid is isomorphic to
Daniel Gonçalves +2 more
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Connection between Cohn path algebra and C*-algebra through Leavitt path algebra
AIP Conference Proceedings, 2023Rizky Rosjanuardi
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The Algebraic Entropies of the Leavitt Path Algebra and the Graph Algebra Agree
AbstractIn this note we prove that the algebras $$L_K(E)$$ L K ( E ) and KE have the same entropy ...
Wolfgang Böck, Candido Martin Gonzalez
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Ringel–Hall Algebras of Quotient Algebras of Path Algebras
Communications in Algebra, 2013We determine the generating relations for Ringel–Hall algebras associated with quotient algebras of path algebras of Dynkin and tame quivers, and investigate their connection with composition subalgebras.
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Counting Paths: Nondeterminism as Linear Algebra
IEEE Transactions on Software Engineering, 1984Nondeterminism is considered to be ignorance about the actual state transition sequence performed during a computation. The number of distinct potential paths from state i to j forms a matrix \([n_{ij}]\). The behavior of a nondeterministic program is defined to be this multiplicity matrix of the state transitions.
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Path extension similarity link prediction method based on matrix algebra in directed networks
Computer Communications, 2022Feipeng Guo
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Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2
Communications in Algebra, 2021Daisuke Sagaki
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