A class of noncommutative and noncocommutative hopf algebras: the quantum version

DOI10.1080/00927879908826745zbMath0942.16038OpenAlexW2050533744MaRDI QIDQ4265564

Hui-Xiang Chen

Publication date: 3 August 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826745

zbMATH Keywords

Hopf algebrasquantum groupsbialgebrasskew pairingsdouble crossproducts

Mathematics Subject Classification ID

Related Items (21)

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ IRREDUCIBLE REPRESENTATIONS OF A CLASS OF FINITE-DIMENSIONAL ALGEBRAS ⋮ Tensor representations for the Drinfeld double of the Taft algebra ⋮ Generalized Hopf-Ore extensions ⋮ McKay matrices for finite-dimensional Hopf algebras ⋮ McKay matrix for indecomposable module of finite representation type Hopf algebra ⋮ Hopf \(*\)-algebra structures on \(H(1,q)\). ⋮ A class of quantum doubles of pointed Hopf algebras of rank one ⋮ On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables ⋮ Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank taft algebra ⋮ Grothendieck Groups of a Class of Quantum Doubles ⋮ Green rings of Drinfeld doubles of Taft algebras ⋮ The Green ring of Drinfeld double \(D(H_4)\). ⋮ Generic Modules Over a Class of Drinfeld's Quantum Doubles ⋮ Irreducible representations of a class of quantum doubles ⋮ REPRESENTATIONS OF A CLASS OF DRINFELD'S DOUBLES ⋮ Four-dimensional Yetter-Drinfeld module algebras over \(H_4\). ⋮ Quasitriangular Structures for a Class of Hopf Algebras of Dimensionp⁶ ⋮ A Trace-Like Invariant for Representations of Hopf Algebras ⋮ The structures of Hopf $\ast$-algebra on Radford algebras ⋮ Finite-dimensional representations of a quantum double

Cites Work

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• Quantum groups and quantum determinants
• Minimal quasitriangular Hopf algebras
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
• Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”
• Cleft extensions for a hopf algebra generated by a nearly primitive element
• Multiplication alteration by two-cocycles - the quantum version

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