Hecke algebras and involutions in Weyl groups
0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat order on W. In [KL1],[KL2], certain polynomials ... N, u is an indeterminate) were defined and computed in terms of an algorithm for any y ≤ w in W. These polynomials are of interest for the representation theory of...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Institute of Mathematics, Academia Sinica
2012
|
| Online Access: | http://hdl.handle.net/1721.1/71596 https://orcid.org/0000-0002-9816-2395 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1811072400227303424 |
|---|---|
| author | Lusztig, George Vogan, David A. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Vogan, David A. |
| author_sort | Lusztig, George |
| collection | MIT |
| description | 0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat
order on W. In [KL1],[KL2], certain polynomials ...
N, u is an indeterminate) were defined and computed in terms of an algorithm
for any y ≤ w in W. These polynomials are of interest for the representation
theory of complex reductive groups, see [KL1]. Let I = be ...
the set of involutions in W. In this paper we introduce some new polynomials
... Pσ for any pair y ≤ w of elements of I. |
| first_indexed | 2024-09-23T09:05:26Z |
| format | Article |
| id | mit-1721.1/71596 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:05:26Z |
| publishDate | 2012 |
| publisher | Institute of Mathematics, Academia Sinica |
| record_format | dspace |
| spelling | mit-1721.1/715962022-09-30T13:21:50Z Hecke algebras and involutions in Weyl groups Lusztig, George Vogan, David A. Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Lusztig, George Vogan, David A. 0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat order on W. In [KL1],[KL2], certain polynomials ... N, u is an indeterminate) were defined and computed in terms of an algorithm for any y ≤ w in W. These polynomials are of interest for the representation theory of complex reductive groups, see [KL1]. Let I = be ... the set of involutions in W. In this paper we introduce some new polynomials ... Pσ for any pair y ≤ w of elements of I. National Science Foundation (U.S.) (grant DMS-0758262) 2012-07-12T18:15:12Z 2012-07-12T18:15:12Z 2012 Article http://purl.org/eprint/type/JournalArticle 0304-9825 http://hdl.handle.net/1721.1/71596 Lusztig, George and David A. Vogan. "Hecke algebras and involutions in Weyl groups." Bulletin of the Institute of Mathematics Academia Sinica (New Series) Vol.7(2012), No. 3, pp. 323-354. https://orcid.org/0000-0002-9816-2395 https://orcid.org/0000-0001-9414-6892 en_US Bulletin of the Institute of Mathematics, Academia Sinica NS Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Mathematics, Academia Sinica arXiv |
| spellingShingle | Lusztig, George Vogan, David A. Hecke algebras and involutions in Weyl groups |
| title | Hecke algebras and involutions in Weyl groups |
| title_full | Hecke algebras and involutions in Weyl groups |
| title_fullStr | Hecke algebras and involutions in Weyl groups |
| title_full_unstemmed | Hecke algebras and involutions in Weyl groups |
| title_short | Hecke algebras and involutions in Weyl groups |
| title_sort | hecke algebras and involutions in weyl groups |
| url | http://hdl.handle.net/1721.1/71596 https://orcid.org/0000-0002-9816-2395 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge heckealgebrasandinvolutionsinweylgroups AT vogandavida heckealgebrasandinvolutionsinweylgroups |