Grothendieck Groups of a Class of Quantum Doubles

DOI10.1142/S1005386708000412zbMath1158.16021MaRDI QIDQ3527457

Feng Wu, Yun Zhang, Hui-Xiang Chen, Liu Ling

Publication date: 29 September 2008

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

zbMATH Keywords

Grothendieck ringsGrothendieck groupsDrinfeld doublesLoewy lengthsTaft Hopf algebrastensor products of irreducible modules

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20)

Related Items (8)

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ McKay matrices for finite-dimensional Hopf algebras ⋮ The coalgebra automorphism group of Hopf algebra \(k_q[x,x^{-1},y\).] ⋮ Hopf \(*\)-algebra structures on \(H(1,q)\). ⋮ Green rings of Drinfeld doubles of Taft algebras ⋮ Generic Modules Over a Class of Drinfeld's Quantum Doubles ⋮ Some Hopf algebras related to sl2 ⋮ On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra \(\mathcal{FK}_3 \)

Cites Work

• A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra
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• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Modules over \(\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)\)
• Representations of finite-dimensional Hopf algebras
• Finite-dimensional representations of a quantum double
• Irreducible representations of a class of quantum doubles
• Quantum double of \(\text U_q((\mathfrak{sl}_2)^{\leqslant 0})\)
• A class of noncommutative and noncocommutative hopf algebras: the quantum version
• Invariants of Links and 3-Manifolds Obtained from Hopf Algebras
• The Order of the Antipode of Finite-dimensional Hopf Algebra
• REPRESENTATIONS OF A CLASS OF DRINFELD'S DOUBLES

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