On Jacobian Ideals Invariant by a Reducible 𝑠ℓ(2,𝐂) Action

DOI10.1090/S0002-9947-96-01633-9zbMath0872.17002MaRDI QIDQ4890029

Yung Yu

Publication date: 4 September 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

formal power serieshypersurface singularitiesrepresentations of Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Singularities in algebraic geometry (14B05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (21)

Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities ⋮ k-th singular locus moduli algebras of singularities and their derivation Lie algebras ⋮ An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities ⋮ ON THE DERIVATION LIE ALGEBRAS OF FEWNOMIAL SINGULARITIES ⋮ TH YAU NUMBER OF ISOLATED HYPERSURFACE SINGULARITIES AND AN INEQUALITY CONJECTURE ⋮ Nonexistence of negative weight derivations of the local \(k\)-th Hessian algebras associated to isolated 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 ⋮ Generalized Cartan matrices associated to \(k\)-th Yau algebras of singularities and characterization theorem ⋮ On the non-existence of negative weight derivations of the new moduli algebras of singularities ⋮ Quasi-triangular Hopf algebras and invariant Jacobians ⋮ Derivation Lie algebras of new \(k\)-th local algebras of isolated hypersurface singularities ⋮ Classification of gradient space of dimension 8 by a reducible \(\text{sl}(2,\mathbb C)\) action ⋮ On two inequality conjectures for the \(k\)-th Yau numbers of isolated hypersurface singularities ⋮ On the new \(k\)-th Yau algebras of isolated hypersurface singularities ⋮ On the generalized Cartan matrices arising from \(k\)-th Yau algebras of isolated hypersurface singularities ⋮ Inequality conjectures on derivations of local \(k\)-th Hessain algebras associated to isolated hypersurface singularities ⋮ Invariant Jacobians for irreducible restricted sl2 action ⋮ Generalized Cartan matrices arising from new derivation Lie algebras of isolated hypersurface singularities ⋮ Variation of complex structures and variation of Lie algebras. II: New Lie algebras arising from singularities

Cites Work

• Variation of complex structures and variation of Lie algebras
• Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities
• Singularities Defined by sℓ(2, C) Invariant Polynomials and Solvability of Lie Algebras Arising From Isolated Singularities
• Classification of Jacobian ideals invariant by 𝑠𝑙(2,𝐶) actions
• Solvability of Lie Algebras Arising from Isolated Singularities and Nonisolatedness of Singularities Defined by sℓ(2, C) Invariant Polynomials
• Classification of Gradient Space as sℓ(2, ℂ) Module I

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