WebBrown, O’Hagan, Zhang, and Zhuang gave a set of conditions on an automorphism σ and a σ-derivation δ of a Hopf k-algebra R for when the skew polynomial extension … WebAll Hopf algebras structures on the quotients of Ore extensions of automorphism type for are also classified (Theorem 4). 2. Preliminaries Throughout the paper, we work over the fixed field containing some primitive root of unity. All algebras, modules, homomorphisms and tensor products are defined over the field .

Generalized Hopf–Ore Extensions of Hopf Group-Coalgebras

Web1 jun. 2015 · Thus we define an iterated Hopf Ore extension (IHOE) to be a Hopf F-algebra H containing a chain of Hopf subalgebras (2) F = H (0) ⊂ ⋯ ⊂ H (i) ⊂ H (i + 1) ⊂ ⋯ ⊂ H … WebHopf Ore extension Under the additional hypothesis that the variable x of the extension is skew primitive, i.e., ( x) = x r 1 + r 2 x for some r 1;r 2 2R, Panov answered this question. … camelot clearwater fl

Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

Web25 nov. 2024 · Hopf algebras, that generalized groups, models symmetries in a more broad sense. This structure appears in many fields of mathematics (algebraic topology, algebra, operator theory, combinatorics, Lie theory and algebraic geometry) and … WebThis Ore extension is a non-commutative and non-cocommutative pointed semilattice graded weak Hopf algebra. Its quotients are finite dimensional pointed semilattice … WebAbstract. We derive necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type. This construction generalizes … coffee mate artisan tahitian vanilla