Three types of derivation lie algebras of isolated hypersurface singularities

Naveed Hussain; Stephen S.T. Yau; Huaiqing Zuo

doi:10.1007/s12215-024-01182-5

Three types of derivation lie algebras of isolated hypersurface singularities

Naveed Hussain
, Stephen S.T. Yau^*
, Huaiqing Zuo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In our previous work, we introduced three different ways to associate Lie algebras to isolated hypersurface singularities. In this paper, we analyze their relations in the case of weighted homogeneous singularities. Moreover, explicit formulas of the dimensions of three series of Lie algebras are given for fewnomial singularities. Several conjectures are proposed and verified partially.

Original language	English
Article number	25
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	74
Issue number	1
DOIs	https://doi.org/10.1007/s12215-024-01182-5
State	Published - Feb 2025
Externally published	Yes

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2025.

Keywords

Isolated hypersurface singularity
Lie algebra
Moduli algebra

ASJC Scopus subject areas

General Mathematics

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10.1007/s12215-024-01182-5

Cite this

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abstract = "In our previous work, we introduced three different ways to associate Lie algebras to isolated hypersurface singularities. In this paper, we analyze their relations in the case of weighted homogeneous singularities. Moreover, explicit formulas of the dimensions of three series of Lie algebras are given for fewnomial singularities. Several conjectures are proposed and verified partially.",

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N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2025.

PY - 2025/2

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N2 - In our previous work, we introduced three different ways to associate Lie algebras to isolated hypersurface singularities. In this paper, we analyze their relations in the case of weighted homogeneous singularities. Moreover, explicit formulas of the dimensions of three series of Lie algebras are given for fewnomial singularities. Several conjectures are proposed and verified partially.

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KW - Isolated hypersurface singularity

KW - Lie algebra

KW - Moduli algebra

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Three types of derivation lie algebras of isolated hypersurface singularities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this