Quantizations of conical symplectic resolutions / Tom Braden, Anthony Licata, Nicholas Proudfoot,...[et al.]
Type de document : MonographieCollection : Astérisque, 384Langue : anglais.Pays: France.Éditeur : Paris : Société Mathématique de France, cop. 2016Description : 1 vol. (xii+179 p.) ; 24 cmISBN: 9782856298459.ISSN: 0303-1179.Sujet MSC : 53D55, Differential geometry - Symplectic geometry, contact geometry, Deformation quantization, star products16Gxx, Associative rings and algebras - Representation theory of associative rings and algebras
14Mxx, Algebraic geometry - Special varieties
17B10, Lie algebras and Lie superalgebras, Representations, algebraic theory (weights)En-ligne : SMF - texte intégral
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
|
CMI Salle 1 | Séries SMF 384 (Browse shelf(Opens below)) | Available | 08194-01 |
We re-examine some topics in representation theory of Lie algebras and Springer theory in a more general context, viewing the universal enveloping algebra as an example of the section ring of a quantization of a conical symplectic resolution. While some modification from this classical context is necessary, many familiar features survive. We study how this approach applies to other quantized symplectic resolutions, including quiver varieties and hypertoric varieties. This provides a new context for known results about Lie algebras, Cherednik algebras, finite W-algebras, and hypertoric enveloping algebras, while also pointing to the study of new algebras arising from more general resolutions ... (SMF)
There are no comments on this title.