"Springer correspondence"의 두 판 사이의 차이
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* Rider, Laura, and Amber Russell. “Perverse Sheaves on the Nilpotent Cone and Lusztig’s Generalized Springer Correspondence.” arXiv:1409.7132 [math], September 24, 2014. http://arxiv.org/abs/1409.7132. | * Rider, Laura, and Amber Russell. “Perverse Sheaves on the Nilpotent Cone and Lusztig’s Generalized Springer Correspondence.” arXiv:1409.7132 [math], September 24, 2014. http://arxiv.org/abs/1409.7132. | ||
* Rider, Laura. “Formality for the Nilpotent Cone and a Derived Springer Correspondence.” arXiv:1206.4343 [math], June 19, 2012. http://arxiv.org/abs/1206.4343. | * Rider, Laura. “Formality for the Nilpotent Cone and a Derived Springer Correspondence.” arXiv:1206.4343 [math], June 19, 2012. http://arxiv.org/abs/1206.4343. | ||
− | + | * Ciubotaru, Dan. “Spin Representations of Weyl Groups and the Springer Correspondence.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2012, no. 671 (2011): 199–222. doi:10.1515/CRELLE.2011.160. | |
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==encyclopedia== | ==encyclopedia== | ||
* http://en.wikipedia.org/wiki/Nilpotent_cone | * http://en.wikipedia.org/wiki/Nilpotent_cone | ||
* http://en.wikipedia.org/wiki/Springer_correspondence | * http://en.wikipedia.org/wiki/Springer_correspondence |
2014년 10월 7일 (화) 00:56 판
introduction
- The Springer correspondence makes a link between the characters of a Weyl group and the geometry of the nilpotent cone of the corresponding semisimple Lie algebra
- extend this to an equivalence between the triangulated category generated by the Springer perverse sheaves and the derived category of differential graded modules over a dg-ring related to the Weyl group
expositions
articles
- Juteau, Daniel. “Modular Springer Correspondence, Decomposition Matrices and Basic Sets.” arXiv:1410.1471 [math], October 6, 2014. http://arxiv.org/abs/1410.1471.
- Rider, Laura, and Amber Russell. “Perverse Sheaves on the Nilpotent Cone and Lusztig’s Generalized Springer Correspondence.” arXiv:1409.7132 [math], September 24, 2014. http://arxiv.org/abs/1409.7132.
- Rider, Laura. “Formality for the Nilpotent Cone and a Derived Springer Correspondence.” arXiv:1206.4343 [math], June 19, 2012. http://arxiv.org/abs/1206.4343.
- Ciubotaru, Dan. “Spin Representations of Weyl Groups and the Springer Correspondence.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2012, no. 671 (2011): 199–222. doi:10.1515/CRELLE.2011.160.