On the representation ring of a quiver.

DOI10.1007/s10468-008-9118-1zbMath1197.16018OpenAlexW2057145869MaRDI QIDQ843975

Martin Herschend

Publication date: 18 January 2010

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-008-9118-1

zbMATH Keywords

tensor productsquiver representationsDynkin quiversrepresentation ringsClebsch-Gordan problem

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Frobenius induction, Burnside and representation rings (19A22) Multilinear algebra, tensor calculus (15A69)

Related Items (12)

NON-COCOMMUTATIVE C*-BIALGEBRA DEFINED AS THE DIRECT SUM OF FREE GROUP C*-ALGEBRAS ⋮ Tensor products of type III factor representations of Cuntz-Krieger algebras ⋮ Reduced representations of rooted trees. ⋮ On the representation rings of quivers of exceptional Dynkin type. ⋮ The rank of a quiver representation. ⋮ Rank functions on rooted tree quivers. ⋮ The Green Rings of Minimal Hopf Quivers ⋮ On the representation ring of the polynomial algebra over a perfect field ⋮ Solution to the Clebsch-Gordan problem for string algebras. ⋮ Coquasitriangular structures on Hopf quivers ⋮ C*-bialgebra Defined as the Direct Sum of UHF Algebras ⋮ Frobenius-Perron theory of representations of quivers

Cites Work

• Unnamed Item
• Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid
• Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian
• Lattices over curve singularities with large conductor
• SOLUTION TO THE CLEBSCH–GORDAN PROBLEM FOR REPRESENTATIONS OF QUIVERS OF TYPE $\tilde{\mathbb{A}}_n$

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