Results 1 to 10 of about 1,877 (69)
{0,1}-Brauer Configuration Algebras and Their Applications in Graph Energy Theory [PDF]
Mathematics, 2021 The energy E(G) of a graph G is the sum of the absolute values of its adjacency matrix. In contrast, the trace norm of a digraph Q, which is the sum of the singular values of the corresponding adjacency matrix, is the oriented version of the energy of a ...
Natalia Agudelo Muñetón +3 more
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Seaweeds Arising from Brauer Configuration Algebras
Mathematics, 2023 Seaweeds or seaweed Lie algebras are subalgebras of the full-matrix algebra Mat(n) introduced by Dergachev and Kirillov to give an example of algebras for which it is possible to compute the Dixmier index via combinatorial methods.
Agustín Moreno Cañadas +1 more
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Brauer Configuration Algebras Arising from Dyck Paths
Mathematics, 2022 The enumeration of Dyck paths is one of the most remarkable problems in Catalan combinatorics. Recently introduced categories of Dyck paths have allowed interactions between the theory of representation of algebras and cluster algebras theory. As another
Agustín Moreno Cañadas +2 more
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Relationships between the Chicken McNugget Problem, Mutations of Brauer Configuration Algebras and the Advanced Encryption Standard [PDF]
Mathematics, 2021 Mutations on Brauer configurations are introduced and associated with some suitable automata to solve generalizations of the Chicken McNugget problem.
Agustín Moreno Cañadas +2 more
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Brauer configuration algebras: A generalization of Brauer graph algebras
Bulletin Des Sciences Mathematiques, 2017 In this paper we introduce a generalization of a Brauer graph algebra which we call a Brauer configuration algebra. As with Brauer graphs and Brauer graph algebras, to each Brauer configuration, there is an associated Brauer configuration algebra.
Sibylle Schroll
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Mathematics, 2022 The four subspace problem is a known matrix problem, which is equivalent to determining all the indecomposable representations of a poset consisting of four incomparable points.
Agustín Moreno Cañadas +2 more
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MathematicsBrauer configuration algebras are path algebras induced by appropriated multiset systems. Since their structures underlie combinatorial data, the general description of some of their algebraic invariants (e.g., their dimensions or the dimensions of their
Agustín Moreno Cañadas +2 more
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Wargaming with Quadratic Forms and Brauer Configuration Algebras [PDF]
Mathematics, 2022 Recently, Postnikov introduced Bert Kostant’s game to build the maximal positive root associated with the quadratic form of a simple graph. This result, and some other games based on Cartan matrices, give a new version of Gabriel’s theorem regarding ...
Agustín Moreno Cañadas +2 more
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Solutions of the Yang–Baxter Equation Arising from Brauer Configuration Algebras
Computation, 2022 Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions.
Agustín Moreno Cañadas +2 more
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The dimension of the center of a Brauer configuration algebra
Journal of Algebra, 2018 We consider an arbitrary algebra of the class of Brauer configuration algebras and calculate the dimension of the center by determining a $K$-basis.
Alex Sierra C
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