Abstract
We further develop the theory of $$W$$ -graph ideals, first introduced in Howlett (J Algebra 361:188–212, 2012). We discuss $$W$$ -graph subideals, and induction and restriction of $$W$$ -graph ideals for parabolic subgroups. We introduce $$W$$ -graph biideals: those $$W$$ -graph ideals that yield $$(W\times W^{{\mathrm {o}}})$$ -graphs, where $$W^{{\mathrm {o}}}$$ is the group opposite to $$W$$ . We determine all $$W$$ -graph ideals and biideals in finite Coxeter groups of rank 2.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
