[PDF] Top 20 Examples of pointed color Hopf algebras
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Examples of pointed color Hopf algebras
... Introduction Color Lie algebras appeared in [Re] (under the name generalized Lie al- gebra of type χ), were rediscovered in [S] and then studied in several papers, ...A color Lie algebra is a ... See full document
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Modules and comodules over nonarchimedean Hopf algebras
... theory of p-adic groups was made in papers by ...by examples of p-adic representations, which they found in their study of cohomologies of Drinfeld upper-half planes, they studied ... See full document
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Combinatorial Hopf algebras and dual graded graphs
... information of a given combinatorial object as the co- efficients of a “big polynomial”, giving us tools for understanding how two objects may interact by un- derstanding how their generating functions ... See full document
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Finite dimensional Hopf algebras over the Kac–Paljutkin algebra $H 8$
... classification of finite-dimensional pointed Hopf algebras such as [15], [12], [25], [23], [2], [1], [9], [8] and so ...copointed Hopf algebras ([16], [27], ...finite-dimensional ... See full document
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Renormalization and Hopf algebras
... need of describing each one of these interactions in detail, a process that would be completely impractical in most ...Some examples of such parameters are the refraction index n in the laws ... See full document
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Triangular structures of Hopf algebras and tensor Morita equivalences
... a Hopf algebra A, it is fundamental to know whether A has a (quasi-)tri- angular structure, and to determine all the (quasi-)triangular structures of ...example of Hopf algebras having ... See full document
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Cocommutative Calabi–Yau Hopf algebras and deformations
... cocommutative pointed Hopf algebra as in Theorem ...cocommutative Hopf algebras. We know that a cocommuta- tive Hopf algebra is the skew-group algebra of a universal enveloping ... See full document
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On families of Hopf algebras without the dual Chevalley property
... relations of Nichols algebras of diagonal type and convex orders on root systems, ...Duals of pointed Hopf algebras, ...Classifying Hopf algebras of a ... See full document
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Finite Dimensional Hopf Actions on Central Division Algebras
... closed of characteristic zero. The theory of central division algebras containing an algebraically closed field is quite rich and has deep connections to algebraic ...Striking examples in this ... See full document
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Interacting Hopf algebras
... algebra, Hopf algebra, string diagram, linear algebra ...theory of Interacting Hopf Algebras, characterising lin- ear ...composition of PROPs ...arrows of a symmetric monoidal ... See full document
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Cohomological dimensions of universal cosovereign Hopf algebras
... quence of [4, Corollary ...dimension of a Hopf algebra coincides with its (right or left) global dimension (this is pointed out in [52]), hence the result follows from Corollary ... See full document
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Further results on semisimple Hopf algebras of dimension p2q2
... question of classifying all Hopf algebras of a fixed dimension backdates to ...problems of finite dimensional Hopf ...the pointed non-semisimple ... See full document
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On pointed Hopf algebras associated with alternating and dihedral groups
... 1.2. Absolutely real groups. Let G be a finite group. We say that s ∈ G is absolutely real if there exists an involution σ in G such that σsσ = s −1 . If this happens, any element in the conjugacy class of s is ... See full document
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Examples of inner linear Hopf algebras
... question of the stability of inner linearity under ...H of finite index, then G is linear. We prove a Hopf algebraic analogue of a weak form of this result, and we apply it to ... See full document
12
Representations of finite dimensional pointed Hopf algebras over S3
... tion of a Nichols algebra of dimension 12 and a non-trivial ...any of these Hopf ...covers of the simple modules, and prove that they are not of finite representation ...complex ... See full document
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Pointed-at voices and memories of silence
... La fotografía como valor de lo que sucedió, como concepción de testigo de una acción o acontecimiento, y en esto trasladarlo al señalamiento propuesto, donde la cámara fotográfica se p[r] ... See full document
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On generalized Jordan prederivations and generalized prederivations of Lie color algebras
... Obviously, every derivation (resp. prederivation) is a Jordan derivation (resp. Jor- dan prederivation). The converse is not true in general. Herstein [9] proved that every Jordan derivation on a 2-torsion free prime ... See full document
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$T^*$ extensions and abelian extensions of hom Lie color algebras
... Lie color algebras from a purely mathemat- ical point of view and obtained generalizations of the PBW and Ado theorems ([7, Sections 4 and ...theory of Lie color algebras ... See full document
20
Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms
... think of elements of (tensor products over k of) H and H ∗ = Hom k ( H , k) as (multi)linear ...many of our considerations still apply directly in the situation that H is a Hopf ... See full document
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On the structure of split involutive Hom Lie color algebras
... structure of arbitrary split involutive regular Hom-Lie color ...techniques of connections of roots for this kind of algebras, we show that such a split involutive regular ... See full document
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