A new basis for the representation ring of a Weyl group
Let W be a Weyl group. In this paper we define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the other hand the representations of W carried by the left cells of W. We show that the representations in the n...
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| Format: | Article |
| Language: | English |
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American Mathematical Society (AMS)
2020
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| Online Access: | https://hdl.handle.net/1721.1/125509 |
| _version_ | 1811080608605011968 |
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| author | Lusztig, George |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, George |
| author_sort | Lusztig, George |
| collection | MIT |
| description | Let W be a Weyl group. In this paper we define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the other hand the representations of W carried by the left cells of W. We show that the representations in the new basis have a certain bipositivity property. |
| first_indexed | 2024-09-23T11:34:08Z |
| format | Article |
| id | mit-1721.1/125509 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:34:08Z |
| publishDate | 2020 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/1255092022-10-01T04:30:13Z A new basis for the representation ring of a Weyl group Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Let W be a Weyl group. In this paper we define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the other hand the representations of W carried by the left cells of W. We show that the representations in the new basis have a certain bipositivity property. National Science Foundation (U.S.) (Grant DMS-1566618) 2020-05-27T17:51:16Z 2020-05-27T17:51:16Z 2019-10 2020-04-03T14:59:42Z Article http://purl.org/eprint/type/JournalArticle 1088-4165 https://hdl.handle.net/1721.1/125509 Lusztig, G. “A new basis for the representation ring of a Weyl group.” Representation Theory 23 (2019): 439-461 © 2019 The Author en https://dx.doi.org/10.1090/ERT/534 Representation Theory 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. application/pdf American Mathematical Society (AMS) American Mathematical Society |
| spellingShingle | Lusztig, George A new basis for the representation ring of a Weyl group |
| title | A new basis for the representation ring of a Weyl group |
| title_full | A new basis for the representation ring of a Weyl group |
| title_fullStr | A new basis for the representation ring of a Weyl group |
| title_full_unstemmed | A new basis for the representation ring of a Weyl group |
| title_short | A new basis for the representation ring of a Weyl group |
| title_sort | new basis for the representation ring of a weyl group |
| url | https://hdl.handle.net/1721.1/125509 |
| work_keys_str_mv | AT lusztiggeorge anewbasisfortherepresentationringofaweylgroup AT lusztiggeorge newbasisfortherepresentationringofaweylgroup |