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pro vyhledávání: '"Quasitriangular Hopf algebra"'
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Autor:
Aryan Ghobadi
Publikováno v:
Journal of Algebra. 586:607-642
Skew braces have recently attracted attention as a method to study set-theoretical solutions of the Yang-Baxter equation. Here, we present a new approach to these solutions by studying Hopf algebras in the category, SupLat, of complete lattices and j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd4165f0ca3b7199424e638011667838
https://doi.org/10.1016/j.jalgebra.2021.07.006
https://doi.org/10.1016/j.jalgebra.2021.07.006
Autor:
Naihong Hu, Hongmei Hu
Publikováno v:
Israel Journal of Mathematics. 244:901-943
The purpose of the paper is to build up the related theory of weakly quasitriangular dual pairs suitably for non-standard R-matrices (irregular), and establish the generalized double-bosonization construction for irregular R, which generalizes Majid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa43bcbe01b9bc43892b98e678880f01
https://doi.org/10.1007/s11856-021-2197-y
https://doi.org/10.1007/s11856-021-2197-y
Autor:
Kun Zhou, Gongxiang Liu
Publikováno v:
Communications in Algebra. 49:4755-4762
The aim of this paper is to study quasitriangular structures on a class of semisimple Hopf algebras kG#σ,τkZ2 constructed through abelian extensions of kZ2 by kG for an abelian group G. We prove th...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3de83afe7f8a0245fa8874bcaef9b570
https://doi.org/10.1080/00927872.2021.1929274
https://doi.org/10.1080/00927872.2021.1929274
Publikováno v:
Journal of Algebra. 575:78-126
Involving a symmetric Hochschild 1-cocycle condition, we equip the space of decorated planar rooted forests with a coproduct which turns the space into a dendriform-Nijenhuis bialgebra. We combine dendriform-Nijenhuis bialgebras with operated algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0eabe2dd947b61d6bfbfbeff6390f071
https://doi.org/10.1016/j.jalgebra.2021.01.042
https://doi.org/10.1016/j.jalgebra.2021.01.042
Publikováno v:
Colloquium Mathematicum. 164:251-271
In this paper we mainly construct bicrossproduct for finite-dimensional monoidal Hom-Hopf algebra $(H,\alpha)$, generalizing the Majid's bicrossproduct. Naturally the Hom-type bicrossproduct leads to Drinfel'd double $(H^{op}\bowtie H^{\ast}, \alpha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c294c910893ad2ee387cd0520324930b
https://doi.org/10.4064/cm8076-1-2020
https://doi.org/10.4064/cm8076-1-2020
Publikováno v:
Journal of Algebra. 559:601-624
In this paper, we introduce the concept of a Rota-Baxter paired module to study Rota-Baxter modules without necessarily a Rota-Baxter operator. We obtain two characterizations of Rota-Baxter paired modules, and give some basic properties of Rota-Baxt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20813404d326c9ad036c8b320205ff5e
https://doi.org/10.1016/j.jalgebra.2020.04.023
https://doi.org/10.1016/j.jalgebra.2020.04.023
Autor:
Vidas Regelskis, Bart Vlaar
Publikováno v:
Bulletin of the London Mathematical Society, Hoboken : Wiley, 2020, vol. 52, no. 4, p. 693-715
Let g be a finite-dimensional semisimple complex Lie algebra and θ an involutive automorphism of g. According to G. Letzter, S. Kolb and M. Balagović the fixed-point subalgebra k=gθ has a quantum counterpart B, a coideal subalgebra of the Drinfeld
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c7aef4fa3d24ef8fc6a63b42c3f2029
https://doi.org/10.1112/blms.12360
https://doi.org/10.1112/blms.12360
Autor:
Miriam Cohen, Sara Westreich
Publikováno v:
Journal of Algebra. 549:165-176
We show that for any solvable group G and a Drinfel'd twist J, k G J is solvable in the sense of the intrinsic definition of solvability given in [2] . More generally, if a Hopf algebra H has a normal solvable series so does H J . Furthermore, while
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e37a53ed7ddefbecc872b885140fbfb0
https://doi.org/10.1016/j.jalgebra.2019.12.004
https://doi.org/10.1016/j.jalgebra.2019.12.004
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 43:3557-3615
In this paper, we introduce the theory of multiplication alteration by two-cocycles for non-associative structures like non-associative bimonoids with left (right) division. Also, we explore the connections between Yetter–Drinfeld modules for Hopf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::764c888f811b0b8565d95f5ef63fabe7
https://doi.org/10.1007/s40840-019-00885-8
https://doi.org/10.1007/s40840-019-00885-8