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- Publisher Website: 10.1016/j.aim.2019.01.039
- Scopus: eid_2-s2.0-85060499343
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Article: Cocenter of p-adic groups, II: Induction map
Title | Cocenter of p-adic groups, II: Induction map |
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Authors | |
Keywords | Cocenters Hecke algebras p-adic groups |
Issue Date | 2019 |
Citation | Advances in Mathematics, 2019, v. 345, p. 972-997 How to Cite? |
Abstract | In this paper, we study some relation between the cocenter H¯(G) of the Hecke algebra H(G) of a connected reductive group G over a nonarchimedean local field and the cocenter H¯(M) of its Levi subgroups M. Given any Newton component of H¯(G), we construct the induction map i¯ from the corresponding Newton component of H¯(M) to it. We show that this map is an isomorphism. This leads to the Bernstein–Lusztig type presentation of the cocenter H¯(G), which generalizes the work [11] on the affine Hecke algebras. We also show that the map i¯ we constructed is adjoint to the Jacquet functor. |
Persistent Identifier | http://hdl.handle.net/10722/329547 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 2.022 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | He, Xuhua | - |
dc.date.accessioned | 2023-08-09T03:33:35Z | - |
dc.date.available | 2023-08-09T03:33:35Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Advances in Mathematics, 2019, v. 345, p. 972-997 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329547 | - |
dc.description.abstract | In this paper, we study some relation between the cocenter H¯(G) of the Hecke algebra H(G) of a connected reductive group G over a nonarchimedean local field and the cocenter H¯(M) of its Levi subgroups M. Given any Newton component of H¯(G), we construct the induction map i¯ from the corresponding Newton component of H¯(M) to it. We show that this map is an isomorphism. This leads to the Bernstein–Lusztig type presentation of the cocenter H¯(G), which generalizes the work [11] on the affine Hecke algebras. We also show that the map i¯ we constructed is adjoint to the Jacquet functor. | - |
dc.language | eng | - |
dc.relation.ispartof | Advances in Mathematics | - |
dc.subject | Cocenters | - |
dc.subject | Hecke algebras | - |
dc.subject | p-adic groups | - |
dc.title | Cocenter of p-adic groups, II: Induction map | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.aim.2019.01.039 | - |
dc.identifier.scopus | eid_2-s2.0-85060499343 | - |
dc.identifier.volume | 345 | - |
dc.identifier.spage | 972 | - |
dc.identifier.epage | 997 | - |
dc.identifier.eissn | 1090-2082 | - |
dc.identifier.isi | WOS:000459529500025 | - |