Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Théorie des ensembles et catégories"'
Publikováno v:
Journal of Noncommutative Geometry
We introduce the notion of support equivalence for (co)module algebras (over Hopf algebras), which generalizes in a natural way (weak) equivalence of gradings. We show that for each equivalence class of (co)module algebra structures on a given algebr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85ffa6388f56ab0447d6fd37acc22a2d
https://doi.org/10.4171/jncg/428
https://doi.org/10.4171/jncg/428
Publikováno v:
Proceedings of the Edinburgh Mathematical Society
Proceedings of the Edinburgh Mathematical Society, Vol. 64, p. 555–573 (2021)
Investigo. Repositorio Institucional de la Universidade de Vigo
Universidade de Vigo (UVigo)
Proceedings of the Edinburgh Mathematical Society, Vol. 64, p. 555–573 (2021)
Investigo. Repositorio Institucional de la Universidade de Vigo
Universidade de Vigo (UVigo)
Just like group actions are represented by group automorphisms, Lie algebra actions are represented by derivations: up to isomorphism, a split extension of a Lie algebra B by a Lie algebra X corresponds to a Lie algebra morphism B→Der(X) from B to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd44c00dea36bedf51604a2b458c0a9c
https://doi.org/10.1017/s0013091521000304
https://doi.org/10.1017/s0013091521000304
Publikováno v:
arXiv.org
info:eu-repo/semantics/inPress
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2101::60233c358c113f8e0f60368223a3aa61
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/298479
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/298479
Autor:
Alves, Marcelo Muniz S, Batista, Eliezer, Castro, Felipe, Quadros, Glauber, Vercruysse, Joost
Publikováno v:
Journal of algebra
info:eu-repo/semantics/inPress
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2101::6725f6544c7f2e12a5855195f9df91a8
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/299508
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/299508
Publikováno v:
arXiv.org
We introduce the notion of (op)lax Hopf monoids in a monoidal 2-category and show that Hopf V-categories are a particular type of oplax Hopf monoids in the 2-category Span
info:eu-repo/semantics/inPress
info:eu-repo/semantics/inPress
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2101::508c3497e61aeb99e4dbc1c001238c66
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/283810
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/283810
Autor:
Paolo Saracco
Publikováno v:
Journal of Algebra and its Applications
We prove that a quasi-bialgebra admits a preantipode if and only if the associated free quasi-Hopf bimodule functor is Frobenius, if and only if the relative (opmonoidal) monad is a Hopf monad. The same results hold in particular for a bialgebra, tig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00b0caee75f1512b2da8bec3d5d61bcb
http://hdl.handle.net/2318/1734191
http://hdl.handle.net/2318/1734191
Autor:
Paolo Saracco
Publikováno v:
Algebras and representation theory
By a theorem of Majid, every monoidal category with a neutral quasi-monoidal functor to finitely-generated and projective $\Bbbk$-modules gives rise to a coquasi-bialgebra. We prove that if the category is also rigid, then the associated coquasi-bial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4caf5d1addc559f420333ece635ce98b
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/301446
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/301446
Publikováno v:
Journal of pure and applied algebra, 223 (10
Journal of Pure and Applied Algebra, Vol. 223, no. 10, p. 4171-4190 (2019)
Journal of Pure and Applied Algebra, Vol. 223, no. 10, p. 4171-4190 (2019)
We prove that the category of cocommutative Hopf algebras over a field is a semi-abelian category. This result extends a previous special case of it, based on the Milnor–Moore theorem, where the field was assumed to have zero characteristic. Takeuc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e359c27e501a4efca48990fca2861ee4
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/296853
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/296853
Autor:
Paolo Saracco
Publikováno v:
Journal of pure and applied algebra, 225 (3
We investigate the property of being Frobenius for some functors strictly related with Hopf modules over a bialgebra and how this property reflects on the latter. In particular, we characterize one-sided Hopf algebras with anti-(co)multiplicative one
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5117f67676dffa44cf1d48e3e7094f57
http://hdl.handle.net/2318/1734183
http://hdl.handle.net/2318/1734183
Autor:
Saracco, Paolo
info:eu-repo/semantics/nonPublished
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2101::14da85edefe8bce10051f6ed682d4d7d
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/298356
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/298356