Abstract
All irreducible representations of the Chinese monoid Cn, of any rank n, over a nondenumerable algebraically closed field K, are constructed. It turns out that they have a remarkably simple form and they can be built inductively from irreducible representations of the monoid C2. The proof shows also that every such representation is monomial. Since Cn embeds into the algebra K[Cn]/J(K[Cn]), where J(K[Cn]) denotes the Jacobson radical of the monoid algebra K[Cn], a new representation of Cn as a subdirect product of the images of Cn in the endomorphism algebras of the constructed simple modules follows.
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.
