Abstract
In this article, we compute explicitly the supermultiplicities of the roots for the following Borcherds superalgebras associated with the colored Borcherds–Cartan matrices: (i) three different types of extended-hyperbolic Borcherds superalgebras; (ii) Borcherds superalgebras which are extensions by one simple imaginary root of finite type A 3, affine type , and hyperbolic type HA 1; (iii) Borcherds superalgebras with finite number of imaginary simple roots which are not mutually orthogonal but no real simple root; and (iv) Borcherds superalgebras with one real simple root and two nonorthogonal imaginary simple roots. The Kang and Kim superdimension formula is used for all the cases.
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.
