"Springer correspondence"의 두 판 사이의 차이

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imported>Pythagoras0
(새 문서: ==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 *...)
 
imported>Pythagoras0
2번째 줄: 2번째 줄:
 
* 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
 
* 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
 
* 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
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==expositions==
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* Clausen, http://www.math.harvard.edu/theses/senior/clausen/clausen.pdf
  
  

2014년 10월 7일 (화) 00:43 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.



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