Hopf algebras
On families of Hopf algebras without the dual Chevalley property
... exterior algebras, 4- and 8-dimensional algebras with non-diagonal ...Nichols algebras are finite- dimensional Hopf algebras over H e without the dual Chevalley ...Nichols ...
27
Representations of finite dimensional pointed Hopf algebras over S3
... pointed Hopf algebras associated to certain data, which includes a finite non-abelian group ...these algebras are liftings of (possibly infinite dimensional) quadratic Nichols algebras over ...
27
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 ...
18
Further results on semisimple Hopf algebras of dimension p2q2
... A subalgebra A of R(H ) is called a standard subalgebra if A is spanned by irreducible characters of H. Let X be a subset of Irr(H ). Then X spans a standard subalgebra of R(H ) if and only if the product of characters ...
16
Finite dimensional Hopf algebras over the Kac–Paljutkin algebra $H 8$
... but the equality does not hold in general. However, it does hold when A or B has a GK-deterministic subspace, see [41, Proposition 3.11]. The Gelfand–Kirillov dimension is a useful tool in ring theory and Hopf ...
34
On semisimple Hopf algebras with few representations of dimension greater than one
... semisimple Hopf algebras, Contemp. Math. 483, Algebras, representations and applications, A conference in honour of Ivan Shestakov’s 60th birthday, August 26–September 1, 2007, Maresias, ...
15
Examples of inner linear Hopf algebras
... pointed Hopf algebras in [4] (Theorem ...pointed Hopf algebra H is inner linear if and only if there exists a finite-dimensional representation π : H −→ A such that for any group-like g ∈ Gr(H), the ...
12
On pointed Hopf algebras associated with alternating and dihedral groups
... pointed Hopf algebras H with G = G(H) ...Nichols algebras corresponding to finite ...pointed Hopf algebras with coradical CA n ...pointed Hopf algebra H with G(H ) ≃ A 5 is ...
15
Hopf algebras and finite tensor categories in conformal field theory
... The first of these observations has been made in a specific class of models which are collectively termed logarithmic CFTs (or sometimes rational logarith- mic CFTs), and which have been intensively studied in the ...
48
Preface
... The Humboldt Kolleg Colloquium on Hopf Algebras, Quantum Groups and Tensor Ca- tegories was held at Hotel del Lago, in La Falda, Córdoba, from August 31st to September 4th 2009. This event was followed by a ...
5
Multiparameter quantum groups, bosonizations and cocycle deformations
... introduced by Pei, Hu and Rosso [27], can be described using reduced data. These multiparameter quantum groups contain in a unified way families of quantum groups introduced by other authors (see [27] and references ...
23
Álgebras de Hopf y grupos cuánticos /
... finite-dimensional Hopf algebras to produce new examples of non-isomorphic Hopf algebras of the same dimension, which are another counter-example of the already negated Kaplansky 10-th ...
136
Algebras de Hopf punteadas sobre grupos no abelianos /
... de Hopf de dimensión nita se encarrila por dos caminos diferentes: las semisimples y las no ...de Hopf tanto con los grupos nitos como con las álgebras de ...de Hopf semisimples; mientras que por ...
158
Evolution algebras
... non-associative algebras makes possible to contemplate the sexual reproduction and the system of inheritance of an organism by considering the combine of gamete cells to form the zygote as an algebraic ...
247
Control de la bifurcación de Hopf
... el que cada punto define un estado y cada trayectoria una evoluci´ on del sistema. En los problemas de aplicaciones es frecuente encontrar ecuaciones diferenciales cuyos campos vectoriales dependen de ciertos par´ ...
74
Subvariedades de álgebras de De Morgan Heyting y p-álgebras de Kleene
... ´ algebras de Heyting son reticulados distributivos acotados con una operaci´ on binaria → de pseudocomplementaci´ on relativa, es decir, cumplen con la condici´ on: a ∧ c ≤ b si y s´ olo si c ≤ a → ...´ ...
137
Generalizaciones de una definición iterativa de álgebra booleana
... El aporte significativo de este trabajo consiste en las novedosas definiciones iterativas de cuatro estructuras, presentadas en la segunda parte del documento. Se obtuvo una caracterizaci´on novedosa de los ret´ıculos ...
58
Lectures on algebras
... Abstract. The purpose of this note is to give a fast introduction to some problems of homological and geometrical nature related to finitely dimensional representations of finitely generated, and especially, finitely ...
25
Algebras de Lie cuanticas
... localmente isomorfo al grupo de rotaciones en dimensi´on tres. En los modelos de las interacciones fuertes y electrod´ebiles aparecen ´algebras de Lie que son sumas directas de semisimples y abelianas [28]. Sin ...
116
Ejemplos de álgebras de Hopf semisimples y de álgebras de Hopf con la propiedad de Chevalley dual
... de Hopf semisimples Morita- equivalentes a kG sigue de ...de Hopf que provienen de los funtores de fibra de todas las categorías de fusión Morita-equivalentes a vec G [O], por lo tanto todo H ∼ Mor k G es ...
100