dc.date.accessioned | 2023-05-19T15:56:24Z | |
dc.date.available | 2023-05-19T15:56:24Z | |
dc.date.created | 2023-05-02T21:02:54Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Tuset, Lars De Commer, Kenny Yamashita, Makoto Neshveyev, Sergiy . Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals. Forum of Mathematics, Pi. 2023 | |
dc.identifier.uri | http://hdl.handle.net/10852/102321 | |
dc.description.abstract | We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enriquez–Etingof cyclotomic Knizhnik–Zamolodchikov (KZ) equations and the other on the Letzter–Kolb coideals. This equivalence can be upgraded to that of ribbon braided quasi-coactions, and then the associated reflection operators (K-matrices) become a tangible invariant of the quantization. As an application we obtain a Kohno–Drinfeld type theorem on type B braid group representations defined by the monodromy of KZ-equations and by the Balagović–Kolb universal K-matrices. The cases of Hermitian and non-Hermitian symmetric spaces are significantly different. In particular, in the latter case a quasi-coaction is essentially unique, while in the former we show that there is a one-parameter family of mutually nonequivalent quasi-coactions. | |
dc.language | EN | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals | |
dc.title.alternative | ENEngelskEnglishComparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals | |
dc.type | Journal article | |
dc.creator.author | Tuset, Lars | |
dc.creator.author | De Commer, Kenny | |
dc.creator.author | Yamashita, Makoto | |
dc.creator.author | Neshveyev, Sergiy | |
cristin.unitcode | 185,15,13,65 | |
cristin.unitname | Flere komplekse variable, logikk og operatoralgebraer | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 2144871 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Forum of Mathematics, Pi&rft.volume=&rft.spage=&rft.date=2023 | |
dc.identifier.jtitle | Forum of Mathematics, Pi | |
dc.identifier.volume | 11 | |
dc.identifier.doi | https://doi.org/10.1017/fmp.2023.11 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 2050-5086 | |
dc.type.version | PublishedVersion | |
cristin.articleid | e14 | |