Crystals via the affine Grassmannian

Duke Mathematical Journal

Volumn 107, Issue 3, 2001, Pages 561-575

  Braverman, Alexander ^a   Gaitsgory, Dennis ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001505233     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-01-10736-9     Document Type: Article

References (10)

1. A. Beilinson and V. Drinfeld, Quantization of Hitchin's integrable system and Hecke eigensheaves, preprint, 2000, http://zaphod.uchicago.edu/benzvi/
2. A. Braverman and D. Gaitsgory, Geometric Eisenstein series, preprint, http://www.arXiv.org/abs/math. AG/9912097
3. D. Gaitsgory, Construction of central elements in the affine Hecke algebra via nearby cycles, preprint, http://www.arXiv.org/abs/math.AG/9912074
4. V. Ginzburg, Perverse sheaves on a loop group and Langlands' duality, preprint, http://www. arXiv.org/abs/math.AG/9511007
5. A. Joseph, Quantum Groups and Their Primitive Ideals, Ergeb. Math. Grenzgeb. (3) 29, Springer, Berlin, 1995.
6. M. Kashiwara, On crystal bases of the $Q$-analogue of universal enveloping algebras, Duke Math. J. 63 (1991), 465-516.
7. P. Littelmann, A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras, Invent. Math. 116 (1994), 329-346.
8. G. Lusztig, "Singularities, character formulas, and a SqS-analog of weight multiplicities" in Analysis and Topology on Singular Spaces (Luminy, 1981), I, II, Astérisque 101-102., Soc. Math. France, Paris, 1983, 208-229.
9. _, "Canonical bases arising from quantized enveloping algebras, II" in Common Trends in Mathematics and Quantum Field Theories (Kyoto, 1990), Progr. Theoret. Phys. Suppl. 102, Progr. Theoret. Phys., Kyoto, 1991, 175-201.
10. _, An algebraic-geometric parametrization of the canonical basis, Adv. Math. 120 (1996), 173-190.