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Semisimple Hopf Algebras of Dimension 2q3

  • Jingcheng Dong EMAIL logo and Li Dai
Published/Copyright: March 25, 2015
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 65 Issue 1

Abstract

Let q be a prime number, k an algebraically closed field of characteristic 0, and H a non-trivial semisimple Hopf algebra of dimension 2q3. This paper proves that H can be constructed either from group algebras and their duals by means of extensions, or from Radford’s biproduct H ≅R#kG, where kG is the group algebra of G of order 2, R is a semisimple Yetter-Drinfeld Hopf algebra in kGkGYD of dimension q3.

Keywords : semisimple Hopf algebra; semisolvability; Radford’s biproduct; character; Drinfeld double

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Received: 2011-5-16
Accepted: 2012-10-17
Published Online: 2015-3-25
Published in Print: 2015-2-1

© 2015 Mathematical Institute Slovak Academy of Sciences

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  2. Further Properties of the Lattice of Torsion Classes of Abelian Cyclically Ordered Groups
  3. Free Power-Commutative Groupoids
  4. On Systems of Independent Sets
  5. Note on G-Module Structure of Orders
  6. Semisimple Hopf Algebras of Dimension 2q3
  7. On the Convergence of a Mapped by a Function
  8. Multiple Solutions of Nonlinear Fractional Differential Equations with p-Laplacian Operator and Nonlinear Boundary Conditions
  9. Meromorphic Functions Sharing Pairs of Small Functions
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  12. Existence of Ground State Solutions for Hamiltonian Elliptic Systems with Gradient Terms
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https://doi.org/10.1515/ms-2015-0006
Keywords for this article
semisimple Hopf algebra; semisolvability; Radford’s biproduct; character; Drinfeld double

Articles in the same Issue

  1. The M-Regular Graph of a Commutative Ring
  2. Further Properties of the Lattice of Torsion Classes of Abelian Cyclically Ordered Groups
  3. Free Power-Commutative Groupoids
  4. On Systems of Independent Sets
  5. Note on G-Module Structure of Orders
  6. Semisimple Hopf Algebras of Dimension 2q3
  7. On the Convergence of a Mapped by a Function
  8. Multiple Solutions of Nonlinear Fractional Differential Equations with p-Laplacian Operator and Nonlinear Boundary Conditions
  9. Meromorphic Functions Sharing Pairs of Small Functions
  10. Sharp Inequalities for Polygamma Functions
  11. Existence Results for Some Higher-Order Evolution Equations with Time-Dependent Unbounded Operator Coefficients
  12. Existence of Ground State Solutions for Hamiltonian Elliptic Systems with Gradient Terms
  13. Approximate Higher Ring Derivations in Non-Archimedean Banach Algebras
  14. Characterizations of Banach Spaces which are not Isomorphic to any of their Proper Subspaces
  15. Operator Inequalities Related to Q-Class Functions
  16. On a Class of Locally Dually Flat (α,β)–Metrics
  17. Limit Theorems for the Counting Function of Eigenvalues up to Edge in Covariance Matrices
  18. A Generalization of Jakubec's Formula
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