Results 21 to 30 of about 52,965 (200)
Frobenius rational loop algebra [PDF]
manuscripta mathematica, 2007 Recently R. Cohen and V. Godin have proved that the homology of the free loop space of a closed oriented manifold with coefficients in a field has the structure of a Frobenius algebra without counit. In this short note we prove that when the characteristic of the field is zero and when the manifold is 1-connected the algebraic structure depends only on
Chataur, David, Thomas, Jean-Claude
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Journal of Algebra, 2009 We define Calabi-Yau and periodic Frobenius algebras over arbitrary base commutative rings. We define a Hochschild analogue of Tate cohomology, and show that the "stable Hochschild cohomology" of periodic CY Frobenius algebras has a Batalin-Vilkovisky and Frobenius algebra structure. Such algebras include (centrally extended) preprojective algebras of (
Eu, Ching-Hwa, Schedler, Travis
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Frobenius structural matrix algebras
Linear Algebra and its Applications, 2013 We discuss when the incidence coalgebra of a locally finite preordered set is right co-Frobenius. As a consequence, we obtain that a structural matrix algebra over a field $k$ is Frobenius if and only if it consists, up to a permutation of rows and columns, of diagonal blocks which are full matrix algebras over $k$.
Dăscălescu, S. +2 more
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Braided Frobenius algebras from certain Hopf algebras [PDF]
Journal of Algebra and Its Applications, 2021 A braided Frobenius algebra is a Frobenius algebra with a Yang–Baxter operator that commutes with the operations, that are related to diagrams of compact surfaces with boundary expressed as ribbon graphs. A heap is a ternary operation exemplified by a group with the operation [Formula: see text], that is ternary self-distributive. Hopf algebras can be
Saito, Masahico, Zappala, Emanuele
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Deforming Lie algebras to Frobenius integrable non-autonomous Hamiltonian systems
, 2020 Motivated by the theory of Painlev\'e equations and associated hierarchies, we study non-autonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditions under which a given finite-dimensional Lie algebra of Hamiltonian ...
Blaszak, Maciej +2 more
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A Functorial Construction of Quantum Subtheories
Entropy, 2017 We apply the geometric quantization procedure via symplectic groupoids to the setting of epistemically-restricted toy theories formalized by Spekkens (Spekkens, 2016).
Ivan Contreras, Ali Nabi Duman
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On two finiteness conditions for Hopf algebras with nonzero integral [PDF]
, 2012 A Hopf algebra is co-Frobenius when it has a nonzero integral. It is proved that the composition length of the indecomposable injective comodules over a co-Frobenius Hopf algebra is bounded.
Andruskiewitsch, Nicolás +2 more
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Internally Calabi-Yau algebras and cluster-tilting objects [PDF]
, 2017 We describe what it means for an algebra to be internally d-Calabi-Yau with respect to an idempotent. This definition abstracts properties of endomorphism algebras of (d-1)-cluster-tilting objects in certain stably (d-1)-Calabi-Yau Frobenius categories ...
Pressland, Matthew
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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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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Journal of Mathematics, 2021 In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions.
Baijuan Shi
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