| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.creator |
Lusztig, George |
|
| dc.date |
2020-05-05T17:43:21Z |
|
| dc.date |
2020-05-05T17:43:21Z |
|
| dc.date |
2018-12 |
|
| dc.date |
2019-11-14T18:50:34Z |
|
| dc.date.accessioned |
2023-03-01T18:09:48Z |
|
| dc.date.available |
2023-03-01T18:09:48Z |
|
| dc.identifier |
1088-4165 |
|
| dc.identifier |
https://hdl.handle.net/1721.1/125018 |
|
| dc.identifier |
Lusztig, G. "Hecke modules based on involutions in extended Weyl groups." Representation Theory 22 (December 2018): 246-277 © 2018 American Mathematical Society |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/278989 |
|
| dc.description |
Let X be the group of weights of a maximal torus of a simply connected semisimple group over C and let W be the Weyl group. The semidirect product W((Q ⊗ X)/X) is called an extended Weyl group. There is a natural C(v)-algebra H called the extended Hecke algebra with basis indexed by the extended Weyl group which contains the usual Hecke algebra as a subalgebra. We construct an H-module with basis indexed by the involutions in the extended Weyl group. This generalizes a construction of the author and Vogan. |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
American Mathematical Society (AMS) |
|
| dc.relation |
http://dx.doi.org/10.1090/ert/520 |
|
| dc.relation |
Representation Theory |
|
| dc.rights |
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. |
|
| dc.source |
American Mathematical Society |
|
| dc.title |
Hecke modules based on involutions in extended Weyl groups |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|