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This tag is used if a reference is needed in a paper or textbook on a specific result.

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 …
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Bezrukavnikov and Ginzburg have unpublished notes, 'Hilbert Schemes and Reductive Groups' (referenced here, for example): does anyone know what became of these notes?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 …
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. …
George Melvin's user avatar
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 …
George Melvin's user avatar
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).
George Melvin's user avatar