Linear quivers, generic extensions and Kashiwara operators

DOI10.1016/S0019-3577(07)80003-6zbMath1182.17004OpenAlexW1970345165WikidataQ126211048 ScholiaQ126211048MaRDI QIDQ2381832

Bangming Deng, Jie Du, Guang-Lian Zhang

Publication date: 19 September 2007

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(07)80003-6

zbMATH Keywords

generic extensionscyclic quiverKashiwara operatorslinear quiver

Mathematics Subject Classification ID

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

Related Items (2)

Tight monomials and the monomial basis property ⋮ Presenting degenerate Ringel-Hall algebras of cyclic quivers

Cites Work

• Monomial bases for quantum affine \(\mathfrak{sl}_n\)
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• On the coloured graph structure of Lusztig's canonical basis
• Affine quivers and canonical bases
• On degenerations and extensions of finite dimensional modules
• Bases of quantized enveloping algebras
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Crystalizing the q-analogue of universal enveloping algebras
• Generic extensions and multiplicative bases of quantum groups at 𝐪=0
• Canonical Bases Arising from Quantized Enveloping Algebras
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• Zelevinsky's involution at roots of unity
• The Composition Algebra of a Cyclic Quiver
• The hall polynomials of a cyclic serial algebra
• Frobenius morphisms and representations of algebras
• Feigin's map and monomial bases for quantized enveloping algebras
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