Results 51 to 60 of about 105 (96)

Pointed Hopf Algebras and Kaplansky's 10th Conjecture

Journal of Algebra, 1998
\textit{D. E. Radford} constructed several families of pointed finite-dimensional Hopf algebras over a field \(k\) [Advances in Hopf algebras, Lect. Notes Pure Appl. Math. 158, 205-266 (1994; Zbl 0841.57044)]. The author of the paper under review generalized one of Radford's families to a family of Hopf algebras \(H\) which captures all Hopf algebras ...
openaire   +2 more sources

Co-actions, Isometries, and isomorphism classes of Hilbert modules. [PDF]

Adv Oper Theory, 2021
Kučerovský DZ.
europepmc   +1 more source

Pointed Hopf algebras of discrete corepresentation type

Journal of Pure and Applied Algebra
We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras $H$, we explicitly determine the algebra structure up to isomorphism for the link indecomposable component $B$ containing the unit.
Miodrag Cristian Iovanov, Emre Sen, Alexander Sistko, Shijie Zhu   +3 more
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Hopf Q-braces structures on rank one pointed Hopf algebras

Journal of Algebra and Its Applications
In this paper we determine all the Hopf [Formula: see text]-brace structures on rank one pointed Hopf algebras and compute the socle of each one of them. We also identify which among them are Hopf skew-braces. Then we determine when two Hopf [Formula: see text]-brace structures on rank one pointed Hopf algebras are isomorphic, and, finally, we compute
Jorge A. Guccione, Juan J. Guccione, Christian Valqui   +2 more
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Finite-dimensional Hopf Algebras over the Smallest Non-pointed Basic Hopf Algebra

Frontiers of Mathematics
We classify finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradcial is isomorphic to the smallest non-pointed basic Hopf algebra, under the assumption that the diagrams are strictly graded. In particular, we obtain some new Nichols algebras of non-diagonal type and new finite-dimensional Hopf ...
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Pointed Hopf algebras as cocycle deformations

, 2010
We show that all finite dimensional pointed Hopf algebras with the same diagram in the classification scheme of Andruskiewitsch and Schneider are cocycle deformations of each other. This is done by giving first a suitable characterization of such Hopf algebras, which allows for the application of results by Masuoka about Morita-Takeuchi equivalence and
Grunenfelder, L., Mastnak, M.
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New techniques for pointed Hopf algebras

, 2008
29 pages, small ...
Andruskiewitsch, N., Fantino, F.
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A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. [PDF]

Lett Math Phys, 2022
Pérez-Sánchez CI.
europepmc   +1 more source

Does Geometric Algebra Provide a Loophole to Bell's Theorem? [PDF]

Entropy (Basel), 2019
Gill RD.
europepmc   +1 more source

Cumulants, free cumulants and half-shuffles. [PDF]

Proc Math Phys Eng Sci, 2015
Ebrahimi-Fard K, Patras F.
europepmc   +1 more source