Presenting degenerate Ringel-Hall algebras of cyclic quivers

DOI10.1016/j.jpaa.2009.12.021zbMath1261.17014OpenAlexW2013724158MaRDI QIDQ964536

Bangming Deng, Jie Du, Alexandre Mah

Publication date: 22 April 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.12.021

zbMATH Keywords

Ringel-Hall algebrascyclic quivers

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20)

Related Items (7)

Applications of Littlewood-Richardson tableaux to computing generic extension of semisimple invariant subspaces of nilpotent linear operators ⋮ Presenting degenerate Ringel-Hall algebras of type \(B\) ⋮ Tight monomials and the monomial basis property ⋮ On 0-Schur algebras. ⋮ On Degenerate Ringel-Hall Algebras of Types A and G₂ ⋮ The boundary of the irreducible components for invariant subspace varieties ⋮ Quantum affine \(\mathfrak{gl}_n\) via Hecke algebras

Cites Work

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• Bases of quantized enveloping algebras
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• Generic extensions and multiplicative bases of quantum groups at 𝐪=0
• Zelevinsky's involution at roots of unity
• The Composition Algebra of a Cyclic Quiver
• The hall polynomials of a cyclic serial algebra
• Generic Extensions and Canonical Bases for Cyclic Quivers
• Feigin's map and monomial bases for quantized enveloping algebras

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