Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type \(A_{0|0}\)

DOI10.1006/jabr.2001.8841zbMath1001.16027OpenAlexW2052882230MaRDI QIDQ5958853

Phùng Hô` Hài

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8841

zbMATH Keywords

convolution productsHopf algebrasintegralsquantum groupssimple comodulessimple subcoalgebras

Mathematics Subject Classification ID

Related Items (7)

On the dimension of the space of integrals on coalgebras. ⋮ Some Remarks on Localization in Coalgebras ⋮ The homological determinant of quantum groups of type 𝐴 ⋮ Irreducible representations of quantum linear groups of type \(A_{1|0}\). ⋮ Double Koszul complex and construction of irreducible representations of $\mathfrak {gl}(3|1)$ ⋮ Co-Frobenius coalgebras. ⋮ On Hopf Algebras with Nonzero Integral

Cites Work

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• The integral on quantum supergroups of type \(A_{R| S}\).
• Quantum deformation of Lorentz group
• Multiparametric quantum deformation of the general linear supergroup
• Homological coalgebra
• A new one-parameter family of \(2\times{}2\) matrix bialgebras
• Finiteness conditions for a Hopf algebra with a nonzero integral
• Locally finite representations
• Semiperfect coalgebras
• On the structure of quantum super groups \(\text{GL}_q(m|n)\)
• Poincaré series of quantum spaces associated to Hecke operators
• Coactions, smash products, and Hopf modules
• Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups
• Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians
• Constructing pointed Hopf algebras by Ore extensions
• The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebra
• ON MATRIX QUANTUM GROUPS OF TYPE A_n
• Characters of typical representations of classical lie superalgebras
• Solving the two-dimensional constant quantum Yang–Baxter equation
• The uniqueness of integrals

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