Hopf algebras and galois descent

Autor: Antonio Blanco Ferro

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions de la Secció de Matemàtiques; 1986: Vol.: 30 Núm.: 1; p. 65-80

that: "some of the me-thods used in Galois theory andformulated in the Hopf algebrasto Chase and Sweedler to defineterms of Hopf algebras whichdon 't formulate a corresponding theory of descent" . The pur-pose of this notes is to develop this theory,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6316daa42f96fd8c012197ff1cadd71
http://hdl.handle.net/2072/390010

Simple finite-dimensional double algebras

Autor: M.E. Goncharov, Pavel Kolesnikov

Publikováno v: Journal of Algebra. 500:425-438

A double algebra is a linear space $V$ equipped with linear map $V\otimes V\to V\otimes V$. Additional conditions on this map lead to the notions of Lie and associative double algebras. We prove that simple finite-dimensional Lie double algebras do n

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0b911f46415ae4ea3bfce222cc520fe
https://doi.org/10.1016/j.jalgebra.2017.04.020

Multiplier Hopf algebroids: Basic theory and examples

Autor: Thomas Timmermann, Alfons Van Daele

Publikováno v: Communications in Algebra. 46:1926-1958

Multiplier Hopf algebroids are algebraic versions of quantum groupoids that generalize Hopf algebroids to the non-unital case and weak (multiplier) Hopf algebras to non-separable base algebras. The main structure maps of a multiplier Hopf algebroid a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b02a802f61f759b26e7fb9383d9a2441
https://doi.org/10.1080/00927872.2017.1363220

Some remarks about monoidal Hom-algebras

Autor: J. N. Alonso Álvarez, R. González Rodríguez, J. M. Fernández Vilaboa

Publikováno v: Quaestiones Mathematicae. 40:251-275

In this paper, for 𝒞 a strict braided monoidal category with tensor product ⊗, we improve the definition of Hom-associative algebra by removing the multiplicativity condition of the automorphism α....

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cac14db1c6565e90090531935871c3c5
https://doi.org/10.2989/16073606.2017.1284912

Interacting Hopf algebras

Autor: Filippo Bonchi, Fabio Zanasi, Pawel Sobocinski

Publikováno v: Journal of Pure and Applied Algebra, 221, 144-184
Journal of Pure and Applied Algebra, 221, 1, pp. 144-184

We introduce the theory IHR of interacting Hopf algebras, parametrised over a principal ideal domain R. The axioms of IHR are derived using Lack’s approach to composing PROPs: they feature two Hopf algebra and two Frobenius algebra structures on fo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d3f57f6aef0cd3084ea806d6c1e6230
https://doi.org/10.1016/j.jpaa.2016.06.002