On the generalized Cartan matrices arising from \(k\)-th Yau algebras of isolated hypersurface singularities

DOI10.1007/s10468-020-09981-xzbMath1467.14010OpenAlexW3043474233MaRDI QIDQ2042302

Huaiqing Zuo, Naveed Hussain, Stephen Shing-Toung Yau

Publication date: 28 July 2021

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

Full work available at URL: https://doi.org/10.1007/s10468-020-09981-x

zbMATH Keywords

Lie algebraisolated singularitygeneralized Cartan matrix

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Related Items (6)

Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities ⋮ An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities ⋮ Higher Nash blow-up local algebras of singularities and its derivation Lie algebras ⋮ \(k\)-th Milnor numbers and \(k\)-th Tjurina numbers of weighted homogeneous singularities ⋮ Derivations of local \(k\)-th Hessian algebras of singularities ⋮ Derivation Lie algebras of new \(k\)-th local algebras of isolated hypersurface singularities

Cites Work

• Derivations of the moduli algebras of weighted homogeneous hypersurface singularities
• A sharp upper estimate conjecture for the Yau number of a weighted homogeneous isolated hypersurface singularity
• Fifteen characterizations of rational double points and simple critical points
• Variation of complex structures and variation of Lie algebras. II: New Lie algebras arising from singularities
• Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities
• Variation of complex structures and variation of Lie algebras
• Equivalences between isolated hypersurface singularities
• Kac-Moody Lie algebras and the universal element for the category of nilpotent Lie algebras
• Classification of isolated hypersurface singularities by their moduli algebras
• Sur les algèbres admettant un tore d'automorphismes donne
• Nonexistence of negative weight derivation of moduli algebras of weighted homogeneous singularities
• Survey on derivation Lie algebras of isolated singularities
• On two inequality conjectures for the \(k\)-th Yau numbers of isolated hypersurface singularities
• The nonexistence of negative weight derivations on positive dimensional isolated singularities: generalized Wahl conjecture
• On the non-existence of negative weight derivations of the new moduli algebras of singularities
• On the new \(k\)-th Yau algebras of isolated hypersurface singularities
• Generalized Cartan matrices arising from new derivation Lie algebras of isolated hypersurface singularities
• Systeme de poids sur une algèbre de Lie nilpotente
• Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities
• Solvability of Lie Algebras Arising from Isolated Singularities and Nonisolatedness of Singularities Defined by sℓ(2, C) Invariant Polynomials
• ON THE DERIVATION LIE ALGEBRAS OF FEWNOMIAL SINGULARITIES
• On Jacobian Ideals Invariant by a Reducible 𝑠ℓ(2,𝐂) Action
• Non-existence of negative weight derivations on positively graded Artinian algebras
• Introduction to Singularities and Deformations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the generalized Cartan matrices arising from \(k\)-th Yau algebras of isolated hypersurface singularities