A new construction of \(\tilde{D}_5\)-singularities and generalization of Slodowy slices (Q360165)
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scientific article; zbMATH DE number 6201461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new construction of \(\tilde{D}_5\)-singularities and generalization of Slodowy slices |
scientific article; zbMATH DE number 6201461 |
Statements
A new construction of \(\tilde{D}_5\)-singularities and generalization of Slodowy slices (English)
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26 August 2013
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simple elliptic singularities
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\(\tilde{D}_5\)-singularities
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Lie algebras
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0.83395016
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0.8334663
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0.82466006
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0.8233968
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0.82288814
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The authors find the \(\widetilde D_5\)-singularity in the intersection of nilpotent variety of \(\mathfrak s\mathfrak l(2,{\mathbb C}) \oplus \mathfrak s\mathfrak l(2,{\mathbb C})\) with a four-dimensional \` good\'\ slice, depending on two parameters. They also find the semi-universal deformation in these terms.NEWLINENEWLINEIn an Appendix some facts about pencils of quadrics are collected.
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