Abstract
This paper uses the Murphy basis of the Ariki–Koike algebras to explicitly construct a complete set of primitive idempotents when these algebras are semisimple and q ≠ 1 . As a consequence, we obtain an explicit Wedderburn basis for the Ariki–Koike algebras. Finally, we use these idempotents to compute the generic degrees of the Ariki–Koike algebras.
Sign-in/Register to access full text options 
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.
