[PDF] Top 20 Renormalization and Hopf algebras
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Renormalization and Hopf algebras
... diverge, and after learning how to isolate divergent parts from finite parts of an integral through dimensional regularization we turned to renor- malization to eliminate these divergencies by the substraction of ... See full document
61
Preface
... of Hopf algebras and related objects, tensor categories and its applications to physics and to- ...talks and twenty-six twenty-minutes ...young and more experienced ... See full document
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On families of Hopf algebras without the dual Chevalley property
... Proof. Let S be the graded dual of the diagram R of A. Then by the duality principle [8, Lemma 2.4], S is generated by S(1) if and only if P (R) = R(1). Since R is strictly graded, there exists an epimorphism S ... See full document
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Categorías tensoriales : representaciones y extensiones
... En esta secci´ on damos la definici´ on concreta de Categor´ıa tensorial, que es quiz´ a el concepto m´ as importante a lo largo de este trabajo. La necesidad del estudio de este objeto radica en las variadas ... See full document
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Algebras de Hopf punteadas sobre los grupos simétricos S3 y S4 /
... de Hopf es un ´ alge- bra para la cual se pueden tensorear m´ ...´ algebras de Hopf tienen importantes aplicaciones en matem´ atica y en f´ısica matem´ ...´ algebras de Hopf semisimples ... See full document
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Further results on semisimple Hopf algebras of dimension p2q2
... normal Hopf subalgebra ...semisimple Hopf algebras [4, 5, 13, 25], K is upper and lower ...semisimple Hopf algebra and let ... See full document
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La integral en álgebras de Hopf
... algebras de Hopf coconmutativas. M´ as recientemente, Stefan da en [56] una demostraci´ on en la que usa la caracterizaci´ on en t´ erminos de la densidad del subm´ odulo racional. Raia- nu da otra ... See full document
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On semisimple Hopf algebras with few representations of dimension greater than one
... dual Hopf algebra with the natural pairing h−, −i : H ∗ ⊗ H → ...left and right H ∗ -module algebra with respect to the left and right actions f ⇀ x, x ↼ f of f ∈ H ∗ on x ∈ H, defined as follows, ... See full document
15
Drinfel’d doubles and Shapovalov determinants
... Andruskiewitsch and Schneider to classify pointed Hopf algebras [AS98], ...enveloping algebras of semisimple Lie algebras, where the deformation parameter is not a root of 1, and ... See full document
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Especies y su conexión con Álgebras de Hopf graduadas - José Malanga (2017)
... ultimo definimos cuatro functores monoidales bilaxos (functores de Fock) de la categor´ıa Sp en gV ect y los aplicamos a distintos ejemplos de especies vistas en el Cap´ıtulo 3 para obtener as´ı varios de los ejemplos de ... See full document
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Hopf Galois objects and cogroupoids
... classifying Hopf-Galois objects, as least if the comodule category is generated by a few equationnaly well defined ...pointed Hopf algebras, or at least I could not make it work ...pointed ... See full document
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Multiparameter quantum groups, bosonizations and cocycle deformations
... Bosonization and Hopf algebras with a projection. Let R be a Hopf algebra in H H ...usual Hopf algebra from the braided Hopf al- gebra R and H is called bosonization or ... See full document
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Finite dimensional Hopf algebras over the Kac–Paljutkin algebra $H 8$
... Let p = (v g)#1 ∈ [M hb, gi]#1, p 0 = (v 0 g 0 )#1 ∈ [M hb 0 , g 0 i]#1; then ∆[φ(pp 0 + p 0 p)] = φ(pp 0 + p 0 p) ⊗ 1 + gg 0 ⊗ φ(pp 0 + p 0 p). So φ(pp 0 + p 0 p) = 0 (when gg 0 = 1) or φ(pp 0 + p 0 p) = λ(1 − gg 0 ) ... See full document
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On pointed Hopf algebras associated with alternating and dihedral groups
... This Hopf algebra B is simple, that is it has no non-trivial normal Hopf ...pointed Hopf alge- bras with group D 3 ≃ S 3 , there is a finite-dimensional non-semisimple Hopf algebra with ... See full document
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Algebras de Hopf punteadas sobre grupos no abelianos /
... de Hopf punteadas H con G(H) ' G ...de Hopf punteadas sobre los grupos diedrales, dando condiciones necesarias sobre los módulos de Yetter-Drinfeld irreducibles sobre un grupo diedral para que sus ... See full document
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Álgebras de Hopf y categorı́as de fusión
... de Hopf de dimensi´ on finita es una categor´ıa tensorial ...(cuasi-)´ algebras de Hopf de dimensi´ on finita est´ an munidas de un (cuasi-)funtor de fibra en la categor´ıa de espacios ...(cuasi-)´ ... 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 ...of Hopf algebras having a triangular ... See full document
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Examples of inner linear Hopf algebras
... We now study the question of the stability of inner linearity under extensions. At the group level, it is known that linearity is not stable under extensions (see e.g. [11]), but we have the following positive result: If ... See full document
12
Algebras de Hopf y extensiones de Galois
... de Hopf sobre la 2 -esfera, reconstruiremos la llamada bración de Hopf cuántica y la identicaremos con la extensión de Galois del álgebra de Hopf de polinomios de Laurent sobre el círculo coactuando ... See full document
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Combinatorial Hopf algebras and dual graded graphs
... The generating functions helps us to codify the 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 ... See full document
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