• DOI:10.4007/ANNALS.2007.166.95
Corpus ID: 14127684

Geometric Langlands duality and representations of algebraic groups over commutative rings

@article{Mirkovic2004GeometricLD,
  title={Geometric Langlands duality and representations of algebraic groups over commutative rings},
  author={I. Mirkovic and K. Vilonen},
  journal={Annals of Mathematics},
  year={2004},
  volume={166},
  pages={95-143}
}

• I. Mirkovic, K. Vilonen
• Published 2004
• Mathematics
• Annals of Mathematics

As such, it can be viewed as a first step in the geometric Langlands program. The connected complex reductive groups have a combinatorial classification by their root data. In the root datum the roots and the co-roots appear in a symmetric manner and so the connected reductive algebraic groups come in pairs. If G is a reductive group, we write G for its companion and call it the dual group G. The notion of the dual group itself does not appear in Satake's paper, but was introduced by Langlands… Expand

View PDF on arXiv

Save to Library

Create Alert

Cite

Launch Research Feed