Table of Contents
Algebra
Volume 2014 (2014), Article ID 823467, 6 pages
http://dx.doi.org/10.1155/2014/823467
Research Article

Demazure Descent and Representations of Reductive Groups

1Matematisk Institut, Aarhus Universitet, Ny Munkegade, 8000 Åarhus C, Denmark
2Centre for Quantum Geometry of Moduli Spaces, Aarhus Universitet, Ny Munkegade, 8000 Åarhus C, Denmark

Received 1 November 2013; Accepted 21 January 2014; Published 25 May 2014

Academic Editor: Sorin Dascalescu

Copyright © 2014 Sergey Arkhipov and Tina Kanstrup. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. Ben-Zvi and D. Nadler, “Beilinson-Bernstein localization over the Harish-Chandra center,” http://arxiv.org/abs/1209.0188.
  2. A. Beĭlinson and J. Bernstein, “Localisation de g-modules,” Comptes Rendus des Séances de l'Académie des Sciences, vol. 292, no. 1, pp. 15–18, 1981. View at Google Scholar · View at MathSciNet
  3. M. Harada, G. D. Landweber, and R. Sjamaar, “Divided differences and the Weyl character formula in equivariant K-theory,” Mathematical Research Letters, vol. 17, no. 3, pp. 507–527, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  4. J. C. Jantzen, Representations of Algebraic Groups, Academic Press, Boston, Mass, USA, 1987. View at MathSciNet
  5. S. Mac Lane, Categories for the Working Mathematician, vol. 5, Springer, New York, NY, USA, 2nd edition, 1998. View at MathSciNet
  6. J. E. Humphreys, Linear Algebraic Groups, Springer, New York, NY, USA, 4th edition, 1975. View at MathSciNet
  7. J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge University Press, Cambridge, UK, 1997. View at MathSciNet
  8. E. Cline, B. Parshall, and L. Scott, “Induced modules and extensions of representations,” Inventiones Mathematicae, vol. 47, no. 1, pp. 41–51, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. H. H. Andersen, P. Polo, and K. X. Wen, “Representations of quantum algebras,” Inventiones Mathematicae, vol. 104, no. 1, pp. 1–59, 1991. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet