| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.contributor |
Bezrukavnikov, Roman |
|
| dc.contributor |
Lin, Qian |
|
| dc.creator |
Bezrukavnikov, Roman |
|
| dc.creator |
Lin, Qian |
|
| dc.date |
2013-09-23T13:23:52Z |
|
| dc.date |
2013-09-23T13:23:52Z |
|
| dc.date |
2012 |
|
| dc.date |
2010-08 |
|
| dc.date.accessioned |
2023-03-01T18:04:40Z |
|
| dc.date.available |
2023-03-01T18:04:40Z |
|
| dc.identifier |
9780821853177 |
|
| dc.identifier |
9780821885369 |
|
| dc.identifier |
1098-3627 |
|
| dc.identifier |
0271-4132 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/80850 |
|
| dc.identifier |
Bezrukavnikov, Roman, and Qian Lin. Highest weight modules at the critical level and noncommutative Springer resolution. American Mathematical Society, 2012. |
|
| dc.identifier |
https://orcid.org/0000-0001-5902-8989 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/278658 |
|
| dc.description |
In the article by Bezrukavnikov and Mirkovic a certain non-commutative algebra A was defined starting from a semi-simple algebraic group, so that the derived category of A-modules is equivalent to the derived category of coherent sheaves on the Springer (or Grothendieck-Springer) resolution.
Let gˇ be the Langlands dual Lie algebra and let [˄ over g] be the corresponding affine Lie algebra, i.e. [˄ over g] is a central extension of gˇ ⊗ C((t)).
Using results of Frenkel and Gaitsgory we show that the category of [˄ over g] modules at the critical level which are Iwahori integrable and have a fixed central character, is equivalent to the category of modules over a central reduction of A. This implies that numerics of Iwahori integrable modules at the critical level is governed by the canonical basis in the K-group of a Springer fiber, which was conjecturally described by Lusztig and constructed by Bezrukavnikov and Mirkovic. |
|
| dc.description |
National Science Foundation (U.S.) (Grant DMS-0854764) |
|
| dc.description |
National Science Foundation (U.S.) (Grant DMS-1102434) |
|
| dc.format |
application/pdf |
|
| dc.language |
en_US |
|
| dc.publisher |
American Mathematical Society |
|
| dc.relation |
http://dx.doi.org/10.1090/conm/565/11188 |
|
| dc.relation |
Algebraic Groups and Quantum Groups |
|
| dc.rights |
Creative Commons Attribution-Noncommercial-Share Alike 3.0 |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-sa/3.0/ |
|
| dc.source |
arXiv |
|
| dc.title |
Highest weight modules at the critical level and noncommutative Springer resolution |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|