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This tag is used if a reference is needed in a paper or textbook on a specific result.
7
votes
Applications for intersection (co)homology and for the Decomposition Theorem for students?
A nice example is given by Borho-Macpherson's construction of Weyl group representations (Representations des groupes de Weyl et homologie d'intersection pour les varietes nilpotentes, Comptes rendus. …
5
votes
2
answers
923
views
Status of a conjectural definition of H. Nakajima
In his paper '$t$-analogue of $q$-characters of finite dimensional representations of quantum affine algebras' - http://arxiv.org/abs/math/0009231 - H. Nakajima states a conjectural definition of the …
5
votes
0
answers
324
views
"Reductive Groups and Hilbert Schemes" - Reference
Bezrukavnikov and Ginzburg have unpublished notes, 'Hilbert Schemes and Reductive Groups' (referenced here, for example): does anyone know what became of these notes? Did Bezrukavnikov-Ginzburg publis …
5
votes
3
answers
574
views
Non-symmetric quiver varieties
Given a symmetric Cartan datum $(I,\cdot)$, H. Nakajima has defined a family of varieties - known as quiver varieties - and has used them to give geometric constructions of the representation theory o …
4
votes
About the intrinsic definition of the Weyl group of complex semisimple Lie algebras
Yes: this is the approach to defining the 'abstract Weyl group' introduced in "Representation Theory and Complex Geometry" by Chriss/Ginzburg on p. 135 (2nd Edition, Birkhauser).
3
votes
expository papers related to quantum groups
These are a nice set of introductory notes that I like discussing the example of quantum $SL_{2},\mathfrak{sl}_{2}$.
Also, Kashiwara's original papers on the 'crystals' and 'crystal bases' in quantis …