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   Articles with "hopf algebra" as a keyword



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Bicrossed products with the Taft algebra

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recommendations! Published in 2019 at "Archiv der Mathematik"

DOI: 10.1007/s00013-019-01328-3

Abstract: Let G be a group which admits a generating set consisting of finite order elements. We prove that any Hopf algebra which factorizes through the Taft algebra and the group Hopf algebra K[G] (equivalently, any… read more here.

Keywords: products taft; group; hopf algebra; taft algebra ... See more keywords
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Hopf Ore Extensions

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recommendations! Published in 2019 at "Algebras and Representation Theory"

DOI: 10.1007/s10468-019-09901-8

Abstract: Brown, O’Hagan, Zhang, and Zhuang gave a set of conditions on an automorphism σ and a σ-derivation δ of a Hopf k-algebra R for when the skew polynomial extension T = R[x,σ,δ] of R admits… read more here.

Keywords: hopf; hopf algebra; extensions hopf; hopf ore ... See more keywords

Free Rota-Baxter systems and a Hopf algebra structure

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recommendations! Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1427246

Abstract: ABSTRACT In this paper, we give a linear basis of a free Rota-Baxter system on a set by using the Gröbner-Shirshov bases method and then we obtain a Hopf algebra structure on a free Rota-Baxter… read more here.

Keywords: algebra structure; free rota; rota baxter; hopf algebra ... See more keywords
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On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property

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recommendations! Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1508582

Abstract: Abstract Let be an algebraically closed field of characteristic zero. We determine all finite-dimensional Hopf algebras over whose Hopf coradical is isomorphic to the unique 12-dimensional Hopf algebra without the dual Chevalley property, such that… read more here.

Keywords: algebra without; hopf; unique dimensional; dimensional hopf ... See more keywords
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Kinematic Hopf Algebra for Bern-Carrasco-Johansson Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory.

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recommendations! Published in 2022 at "Physical review letters"

DOI: 10.1103/physrevlett.128.121601

Abstract: We present a closed formula for all Bern-Carrasco-Johansson (BCJ) numerators describing D-dimensional tree-level scattering amplitudes in a heavy-mass effective field theory with two massive particles and an arbitrary number of gluons. The corresponding gravitational amplitudes… read more here.

Keywords: hopf algebra; bern carrasco; carrasco johansson; theory ... See more keywords
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Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra

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recommendations! Published in 2022 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498823501402

Abstract: We introduce the concept of a λ-Hopf algebra as a Hopf algebra obtained as the partial smash product algebra of a Hopf algebra and its base field, and show that every Hopf algebra is a… read more here.

Keywords: algebra base; algebra; hopf algebra; partial actions ... See more keywords
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The Automorphism Group of Green Algebra of 9-Dimensional Taft Hopf Algebra

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recommendations! Published in 2020 at "Algebra Colloquium"

DOI: 10.1142/s1005386720000656

Abstract: Let H3 be the 9-dimensional Taft Hopf algebra, let [Formula: see text] be the corresponding Green ring of H3, and let [Formula: see text] be the automorphism group of Green algebra [Formula: see text] over… read more here.

Keywords: taft hopf; group; hopf algebra; see text ... See more keywords

A Hopf Algebra on Permutations Arising from Super-Shuffle Product

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recommendations! Published in 2021 at "Symmetry"

DOI: 10.3390/sym13061010

Abstract: In this paper, we first prove that any atom of a permutation obtained by the super-shuffle product of two permutations can only consist of some complete atoms of the original two permutations. Then, we prove… read more here.

Keywords: hopf algebra; algebra permutations; super shuffle; shuffle product ... See more keywords