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- Publisher Website: 10.1090/S0002-9947-07-04158-X
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Article: The G-stable pieces of the wonderful compactification
| Title | The G-stable pieces of the wonderful compactification |
|---|---|
| Authors | |
| Issue Date | 2007 |
| Citation | Transactions of the American Mathematical Society, 2007, v. 359, n. 7, p. 3005-3024 How to Cite? |
| Abstract | Let G be a connected, simple algebraic group over an algebraically closed field. There is a partition of the wonderful compactification G of G into finite many G-stable pieces, which was introduced by Lusztig. In this paper, we will investigate the closure of any G-stable piece in G. We will show that the closure is a disjoint union of some G-stable pieces, which was first conjectured by Lusztig. We will also prove the existence of cellular decomposition if the closure contains finitely many G-orbits. © 2007 American Mathematical Society. |
| Persistent Identifier | http://hdl.handle.net/10722/330090 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.581 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | He, Xuhua | - |
| dc.date.accessioned | 2023-08-09T03:37:43Z | - |
| dc.date.available | 2023-08-09T03:37:43Z | - |
| dc.date.issued | 2007 | - |
| dc.identifier.citation | Transactions of the American Mathematical Society, 2007, v. 359, n. 7, p. 3005-3024 | - |
| dc.identifier.issn | 0002-9947 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/330090 | - |
| dc.description.abstract | Let G be a connected, simple algebraic group over an algebraically closed field. There is a partition of the wonderful compactification G of G into finite many G-stable pieces, which was introduced by Lusztig. In this paper, we will investigate the closure of any G-stable piece in G. We will show that the closure is a disjoint union of some G-stable pieces, which was first conjectured by Lusztig. We will also prove the existence of cellular decomposition if the closure contains finitely many G-orbits. © 2007 American Mathematical Society. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Transactions of the American Mathematical Society | - |
| dc.title | The G-stable pieces of the wonderful compactification | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1090/S0002-9947-07-04158-X | - |
| dc.identifier.scopus | eid_2-s2.0-34547653592 | - |
| dc.identifier.volume | 359 | - |
| dc.identifier.issue | 7 | - |
| dc.identifier.spage | 3005 | - |
| dc.identifier.epage | 3024 | - |
| dc.identifier.isi | WOS:000245149100002 | - |