A new construction of (D)over-tilde(5)-singularities and generalization of Slodowy slices

作者：Nakamoto Kazunori^*; Tosun Meral

来源：Journal of Algebra, 2013, 376: 139-151.

DOI：10.1016/j.jalgebra.2012.11.016

• Simple elliptic singularities
• (D)over-tilde(5)-singularities
• Lie algebras
• Deformations
• Bjorner-Welker sequence

Any simple elliptic singularity of type (D) over tilde (5) can be obtained by taking the intersection of the nilpotent variety and the 4-dimensional %26quot;good slices%26quot; in the semi-simple Lie algebra sl(2, C) circle plus sl(2, C). We describe these new slices purely by the structure of the Lie algebra. We also construct the semi-universal deformation spaces of (D) over tilde (5)-singularities by using the 4-dimensional %26quot;good slices%26quot;.

• 出版日期2013-2-15