Some power series involving involutions in Coxeter groups
Let W be a Coxeter group. We show that a certain power series involving a sum over all involutions in W can be expressed in terms of the Poincar´e series of W. (The case where W is finite has been known earlier.)
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| Format: | Article |
| Language: | en_US |
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American Mathematical Society (AMS)
2016
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| Online Access: | http://hdl.handle.net/1721.1/105145 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1826206541561200640 |
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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 Coxeter group. We show that a certain power series involving a sum over all involutions in W can be expressed in terms of the Poincar´e series of W. (The case where W is finite has been known earlier.) |
| first_indexed | 2024-09-23T13:34:15Z |
| format | Article |
| id | mit-1721.1/105145 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:34:15Z |
| publishDate | 2016 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/1051452022-10-01T15:45:46Z Some power series involving involutions in Coxeter groups Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Let W be a Coxeter group. We show that a certain power series involving a sum over all involutions in W can be expressed in terms of the Poincar´e series of W. (The case where W is finite has been known earlier.) National Science Foundation (U.S.) (Grant DMS-1303060) Simons Foundation 2016-10-28T19:15:29Z 2016-10-28T19:15:29Z 2015-11 2015-10 Article http://purl.org/eprint/type/JournalArticle 1088-4165 http://hdl.handle.net/1721.1/105145 Lusztig, G. “Some Power Series Involving Involutions in Coxeter Groups.” Representation Theory of the American Mathematical Society 19.12 (2015): 281–289. https://orcid.org/0000-0001-9414-6892 en_US http://dx.doi.org/10.1090/ert/472 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 Some power series involving involutions in Coxeter groups |
| title | Some power series involving involutions in Coxeter groups |
| title_full | Some power series involving involutions in Coxeter groups |
| title_fullStr | Some power series involving involutions in Coxeter groups |
| title_full_unstemmed | Some power series involving involutions in Coxeter groups |
| title_short | Some power series involving involutions in Coxeter groups |
| title_sort | some power series involving involutions in coxeter groups |
| url | http://hdl.handle.net/1721.1/105145 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge somepowerseriesinvolvinginvolutionsincoxetergroups |