Results 21 to 30 of about 24,029 (191)

Natural Transformations between Induction and Restriction on Iterated Wreath Product of Symmetric Group of Order 2

open access: yesMathematics, 2022
Let CAn=C[S2≀S2≀⋯≀S2] be the group algebra of an n-step iterated wreath product. We prove some structural properties of An such as their centers, centralizers, and right and double cosets.
Mee Seong Im, Can Ozan Oğuz
doaj   +1 more source

On Properties of Five-dimensional Nonstandard Filiform Lie algebra

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in ...
Ricardo Eka Putra   +2 more
doaj   +1 more source

Bulk from boundary in finite CFT by means of pivotal module categories

open access: yesNuclear Physics B, 2021
We present explicit mathematical structures that allow for the reconstruction of the field content of a full local conformal field theory from its boundary fields.
Jürgen Fuchs, Christoph Schweigert
doaj   +1 more source

Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras

open access: yesAdvances in Mathematical Physics, 2018
It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom ...
Yuanyuan Chen, Liangyun Zhang
doaj   +1 more source

Mixed quantum states in higher categories [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
There are two ways to describe the interaction between classical and quantum information categorically: one based on completely positive maps between Frobenius algebras, the other using symmetric monoidal 2-categories.
Chris Heunen, Jamie Vicary, Linde Wester
doaj   +1 more source

Calabi–Yau Frobenius algebras

open access: yesJournal 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
openaire   +2 more sources

3d N $$ \mathcal{N} $$ = 2 Chern-Simons-matter theory, Bethe ansatz, and quantum K -theory of Grassmannians

open access: yesJournal of High Energy Physics, 2020
We study a correspondence between 3d N $$ \mathcal{N} $$ = 2 topologically twisted Chern-Simons-matter theories on S 1 × Σg and quantum K -theory of Grassmannians.
Kazushi Ueda, Yutaka Yoshida
doaj   +1 more source

Frobenius structural matrix algebras

open access: yesLinear 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
openaire   +2 more sources

Braided Frobenius algebras from certain Hopf algebras [PDF]

open access: yesJournal 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
openaire   +2 more sources

Groupoids, Frobenius algebras and Poisson sigma models [PDF]

open access: yes, 2013
In this paper we discuss some connections between groupoids and Frobenius algebras specialized in the case of Poisson sigma models with boundary. We prove a correspondence between groupoids in the category Set and relative Frobenius algebras in the ...
Contreras, Ivan
core   +1 more source

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