Generalized Cartan Matrices Associated to k-th Yau Algebras of Singularities and Characterization Theorem

[1]  S. Yau,et al.  Equivalences between isolated hypersurface singularities , 1990 .

[2]  L. Santharoubane.  Kac-Moody Lie algebras and the universal element for the category of nilpotent Lie algebras , 1983 .

[3]  S. Yau,et al.  On the non-existence of negative weight derivations of the new moduli algebras of singularities , 2020 .

[4]  S. Yau,et al.  Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[5]  S. Yau,et al.  On the Generalized Cartan Matrices Arising from k-th Yau Algebras of Isolated Hypersurface Singularities , 2020 .

[6]  S. Yau,et al.  Non-existence of negative weight derivations on positively graded Artinian algebras , 2019, Transactions of the American Mathematical Society.

[7]  S. Yau.  Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities , 1986 .

[8]  S. Yau,et al.  Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities , 2020 .

[9]  S. Yau,et al.  Sharp upper estimate conjecture for the Yau number of a weighted homogeneous isolated hypersurface singularity , 2016 .

[10]  S. Yau,et al.  On the new k-th Yau algebras of isolated hypersurface singularities , 2020, Mathematische Zeitschrift.

[11]  Gabriel Favre.  Systeme de poids sur une algebre de Lie nilpotente , 1973 .

[12]  S. Yau,et al.  Variation of complex structures and variation of Lie algebras , 1990 .

[13]  S. Yau,et al.  On two inequality conjectures for the k-th Yau numbers of isolated hypersurface singularities , 2020, Geometriae Dedicata.

[14]  S. Yau.  Solvability of lie algebras arising from isolated singularities and nonisolatedness of singularities defined by sl(2, C) invariant polynomials , 1991 .

[15]  S. Yau,et al.  ON THE DERIVATION LIE ALGEBRAS OF FEWNOMIAL SINGULARITIES , 2018, Bulletin of the Australian Mathematical Society.

[16]  A. Dimca,et al.  Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras , 2014, Documenta Mathematica.

[17]  S. Yau,et al.  The nonexistence of negative weight derivations on positive dimensional isolated singularities: Generalized Wahl conjecture , 2020 .

[18]  S. Yau,et al.  Classification of isolated hypersurface singularities by their moduli algebras , 1982 .

[19]  S. Yau,et al.  $k$ TH YAU NUMBER OF ISOLATED HYPERSURFACE SINGULARITIES AND AN INEQUALITY CONJECTURE , 2019, Journal of the Australian Mathematical Society.

[20]  Stephen S.-T. Yau,et al.  Inequality conjectures on derivations of local k-th Hessain algebras associated to isolated hypersurface singularities , 2021 .

[21]  F. Bratzlavsky.  Sur les algèbres admettant un tore d'automorphismes donné , 1974 .

[22]  S. Yau,et al.  Derivations of the moduli algebras of weighted homogeneous hypersurface singularities , 2016 .

[23]  S. Yau,et al.  Generalized Cartan matrices arising from new derivation Lie algebras of isolated hypersurface singularities , 2020 .