Results 11 to 20 of about 165,958,425 (294)
Algebras for parameterised monads [PDF]
, 2009 Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monads. We identify the Eilenberg-Moore category of algebras for parameterised monads and
Atkey, Robert
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Cluster algebras of infinite rank [PDF]
, 2014 Holm and Jørgensen have shown the existence of a cluster structure on a certain category D that shares many properties with finite type A cluster categories and that can be fruitfully considered as an infinite analogue of these. In this work we determine
Gratz, Sira +2 more
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Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 In recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Hopf algebras, including the quantized enveloping algebras.
Majid, Shahn +3 more
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Mathematics, 2021 Every set with a binary operation satisfying a true statement of propositional logic corresponds to a solution of the quantum Yang-Baxter equation. Quantum B-algebras and L-algebras are closely related to Yang-Baxter equation theory.
Aiping Gan, Aziz Muzammal, Yichuan Yang
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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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Algebraic Models of Cubical Weak ∞-Categories with Connections [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this article we adapt some aspects of Penon’s article [23] to cubical geometry. More precisely we define a monad on the category CSets of cubical sets (without degeneracies) whose algebras are models of cubical weak ∞-categories with connections.
Camell Kachour
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Internal categories in the category of semi abelian algebras [PDF]
AIP Conference Proceedings, 2021 In this extended abstract for given an algebraic theory T whose category of models is semi-abelian, we define the internal groupoid in the semi-abelian category of models, and give some results about these internal categories.
Mucuk, Osman, Demir, Serap
openaire +3 more sources
Categorical characterizations of operator-valued measures [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 The most general type of measurement in quantum physics is modeled by a positive operator-valued measure (POVM). Mathematically, a POVM is a generalization of a measure, whose values are not real numbers, but positive operators on a Hilbert space.
Frank Roumen
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On the Structure of Abstract H*-Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 Previously we have shown that the topos approach to quantum theory of Doering and Isham can be generalised to a class of categories typically studied within the monoidal approach to quantum theory of Abramsky and Coecke.
Kevin Dunne
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