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Structured Dynamics in the Algorithmic Agent. [PDF]
Ruffini G, Castaldo F, Vohryzek J.
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Pointed Hopf Algebras with Triangular Decomposition
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On minimal quasitriangular pointed Hopf~ algebras
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Classifying pointed hopf algebras of dimension 16
Communications in Algebra, 2000We classify pointed Hopf algebras of dimension 16 over an algebraically closed field of characteristic zero. Apart from the 11 group algebras, there are 29 such Hopf algebras. All of them can be obtained using the Ore extension construction, as described recently by Beattie, the second author, and Grunenfelder.
Caenepeel, Stefaan +2 more
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Automorphism groups of pointed Hopf algebras
Frontiers of Mathematics in China, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Forms of pointed Hopf algebras
manuscripta mathematica, 1999The authors classify finite dimensional Hopf algebras over a field \(k\) of characteristic \(0\) which are forms of certain pointed Hopf algebras over the algebraic closure \(\overline k\). The classes of pointed Hopf algebras whose forms are determined are those of dimension \(p^2\), \(p^3\) (\(p\) an odd prime number) and Frobenius-Lusztig kernels ...
Caenepeel, Stefaan +2 more
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REPRESENTATIONS OF SIMPLE POINTED HOPF ALGEBRAS
Journal of Algebra and Its Applications, 2004In this paper, the representation type of a class of pointed Hopf algebras is determined. As an application, all indecomposable modules of a simple-pointed Hopf algebra R(q,α) are classified. The Clebsch–Gordan-like formula for the decomposition of the tensor product, taken on the ground field, of two indecomposable modules of R(q,α) is obtained.
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Crossed products for pointed hopf algebras
Communications in Algebra, 1999A systematic method to calculate cleft extensions for pointed Hopf algebras is developed and applied to Uq(sl 2) and the Frobenius-Lusztig kernel Uq(sl 2)'.
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Actions of Pointed Hopf Algebras on Quantum Torus
ANNALI DELL UNIVERSITA DI FERRARA, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lifting of Quantum Linear Spaces and Pointed Hopf Algebras of Orderp3
Journal of Algebra, 1998Nicolás Andruskiewitsch
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