A new construction of (D)over-tilde(5)-singularities and generalization of Slodowy slices
JOURNAL OF ALGEBRA, cilt.376, ss.139-151, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 376
- Basım Tarihi: 2013
- Doi Numarası: 10.1016/j.jalgebra.2012.11.016
- Dergi Adı: JOURNAL OF ALGEBRA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.139-151
- Galatasaray Üniversitesi Adresli: Evet
Özet
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 "good slices" 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 "good slices". (c) 2012 Elsevier Inc. All rights reserved.