Corpus ID: 115170146

Lectures on geometric constructions of the irreducible representations of GL_n

@article{Kamnitzer2009LecturesOG,
  title={Lectures on geometric constructions of the irreducible representations of GL_n},
  author={J. Kamnitzer},
  journal={arXiv: Representation Theory},
  year={2009}
}
  • J. Kamnitzer
  • Published 2009
  • Mathematics
  • arXiv: Representation Theory
  • We give an exposition of three geometric constructions of the irreducible representations of GL_n. In particular, we discuss Borel-Weil theory, the Ginzburg construction, and the geometric Satake construction. We also explain how to deduce the Ginzburg construction from the geometric Satake equivalence. These are lecture notes for a lecture series at the Summer School on geometric representation theory and extended affine Lie algebras held at University of Ottawa in June 2009. 

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