Pointed hopf algebras
Webfinite dimensional pointed Hopf algebras of rank one over an algebraically closed field of characteristic zero by using group datums. Scherotzke [17] classified such Hopf algebras for the case of char(k) = p > 0. It was proven in [12, 17] that a finite dimensional pointed Hopf algebra of rank one over an algebraically closed field is WebJan 3, 2024 · We examine actions of finite-dimensional pointed Hopf algebras on central simple division algebras in characteristic 0. (By a Hopf action we mean a Hopf module …
Pointed hopf algebras
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Pointed Hopf algebras. This is a survey on pointed Hopf algebras over algebraically closed fields of characteristic 0. We propose to classify pointed Hopf algebras by first determining the graded Hopf algebra $\gr A$ associated to the coradical filtration of . WebJan 28, 2015 · In this paper, we study the representation theory of Hopf-Ore extensions of group algebras and pointed Hopf algebras of rank one over an arbitrary field k.Let H=k G(χ,a,δ) be a Hopf-Ore extension of k G and H ′ a rank one quotient Hopf algebra of H, where k is a field, G is a group, a is a central element of G and χ is a k-valued character for G with …
WebMar 15, 2000 · Google Scholar. 16. S. Montgomery. Classifying finite dimensional semisimple Hopf algebras. Trends in the Representation Theory of Finite-dimensional Algebras, Proceedings of the AMS-IMS-SIAM Summer Research Conference on Finite Dimensional Algebras, Seattle, 1997, 229, AMS Contemp. Math ( 1998) p. 265–279. … Webintroduction to the modern classification theory of pointed Hopf algebras for advanced graduate students and researchers working in categorial aspects and classification theory of Hopf algebras and their generalization. Transactions of the American Nuclear Society - Nov 05 2024 Local Bifurcation and Symmetry - Apr 10 2024
Webclassified all finite dimensional pointed Hopf algebras having abelian groups of grouplike elements, under a mild condition on the group orders. These include Lusztig’s small … WebThe classification of finite-dimensional pointed Hopf algebras with group was finished in [AHS]: there are exactly two of them, the bosonization of a Nichols algebra of dimension 12 and a non-trivial lifting. Here we …
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WebOct 12, 2001 · This is a survey on pointed Hopf algebras over algebraically closed fields of characteristic 0. We propose to classify pointed Hopf algebras $A$ by first determining … shipping services to australiaWebOre extension, such as pointed Hopf algebras, co-Frobenius Hopf algebras, and quasitriangular Hopf algebras. In [5], Panov introduced the Hopf-Ore extensions theory, and gave the necessary and sufficient conditions for the Ore extension of a Hopf algebra to be a Hopf algebra. Chao Li and Jinqi shipping services unlimitedWebJan 5, 2024 · Abstract Let $H$ be a pointed Hopf algebra with abelian coradical. Let $A\supseteq B$ be left (or right) coideal subalgebras of $H$ that contain the coradical of $H$. We show that $A$ has a PBW... shipping services to mexicoWebWe show that all finite dimensional pointed Hopf algebras with the same diagram in the classification scheme of Andruskiewitsch and Schneider are cocycle deformations of … question 8 what is a hyperplane in svmWebobjects called Hopf algebras Published results in peer-reviewed journals Disseminated results to peers at international and national meetings PUBLICATIONS 1. Pointed braided tensor categories, with D. Nikshych, Tensor categories and Hopf algebras, 67-94, Contemp. Math., 728, Amer. Math. Soc., Providence, RI, 2024. 2. questionable focal asymmetry mammogramWebJan 3, 2012 · Hopf Algebras by David E Radford Hardcover $125.00 Ship This Item — Qualifies for Free Shipping Unavailable for pickup at B&N Skokie Village Crossing Check Availability at Nearby Stores Instant Purchase Choose Expedited Shipping at checkout for delivery by Friday, April 14 Reserve Now, Pay in Store Overview questionably epic dungeon tipsWebA Hopf algebra is called pointed if all its simple left (or right) comodules are one-dimensional.The quantized enveloping algebras and Lusztig's small quantum groups are … questionably meaning