dc.contributor.author | Regelskis, Vidas | |
dc.contributor.author | Vlaar, Bart | |
dc.contributor.editor | Koelink, Erik | |
dc.contributor.editor | Kolb, Stefan | |
dc.contributor.editor | Reshetikhin, Nicolai | |
dc.contributor.editor | Vlaar, Bart | |
dc.date.accessioned | 2023-11-02T16:30:02Z | |
dc.date.available | 2023-11-02T16:30:02Z | |
dc.date.issued | 2022-08-31 | |
dc.identifier.citation | Regelskis , V & Vlaar , B 2022 , Pseudo-symmetric pairs for Kac-Moody algebras . in E Koelink , S Kolb , N Reshetikhin & B Vlaar (eds) , Contemporary Mathematics. Virtual Conference Hypergeometry, Integrability and Lie Theory, 2020 . vol. 780 , Contemporary Mathematics , vol. 780 , American Mathematical Society , pp. 155-203 , Virtual conference on Hypergeometry, Integrability and Lie Theory, 2020 , Virtual, Online , Netherlands , 7/12/20 . https://doi.org/10.1090/conm/780/15690 | |
dc.identifier.citation | conference | |
dc.identifier.isbn | 978-1-4704-6520-9 | |
dc.identifier.isbn | 978-1-4704-7134-7 | |
dc.identifier.issn | 0271-4132 | |
dc.identifier.other | ORCID: /0000-0002-0092-6917/work/145926596 | |
dc.identifier.uri | http://hdl.handle.net/2299/27066 | |
dc.description | © 2022 American Mathematical Society. This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/ | |
dc.description.abstract | Lie algebra involutions and their fixed-point subalgebras give rise to symmetric spaces and real forms of complex Lie algebras, and are wellstudied in the context of symmetrizable Kac-Moody algebras. In this paper we study a generalization. Namely, we introduce the concept of a pseudoinvolution, an automorphism which is only required to act involutively on a stable Cartan subalgebra, and the concept of a pseudo-fixed-point subalgebra, a natural substitute for the fixed-point subalgebra. In the symmetrizable KacMoody setting, we give a comprehensive discussion of pseudo-involutions of the second kind, the associated pseudo-fixed-point subalgebras, restricted root systems and Weyl groups, in terms of generalizations of Satake diagrams. | en |
dc.format.extent | 49 | |
dc.format.extent | 786709 | |
dc.language.iso | eng | |
dc.publisher | American Mathematical Society | |
dc.relation.ispartof | Contemporary Mathematics. Virtual Conference Hypergeometry, Integrability and Lie Theory, 2020 | |
dc.relation.ispartofseries | Contemporary Mathematics | |
dc.subject | automorphism group | |
dc.subject | Kac-Moody algebras | |
dc.subject | restricted Weyl group | |
dc.subject | symmetric pairs | |
dc.subject | General Mathematics | |
dc.title | Pseudo-symmetric pairs for Kac-Moody algebras | en |
dc.contributor.institution | Department of Physics, Astronomy and Mathematics | |
dc.contributor.institution | School of Physics, Engineering & Computer Science | |
dc.contributor.institution | Mathematics and Theoretical Physics | |
dc.identifier.url | http://www.scopus.com/inward/record.url?scp=85137998601&partnerID=8YFLogxK | |
dc.identifier.url | https://arxiv.org/abs/2108.00260 | |
rioxxterms.versionofrecord | 10.1090/conm/780/15690 | |
rioxxterms.type | Other | |
herts.preservation.rarelyaccessed | true | |