Abstract
Although character formulas for simple finite-dimensional modules of the Lie superalgebra sl(m/n) are not known in general, they are known in the cases of so-called typical and of singly atypical modules. For singly atypical modules, however, the character formula is such that the classical limiting procedure yielding a dimension formula from a character formula does, in general, not work. In this article, another approach is presented yielding an explicit dimension formula for all singly atypical modules of sl(m/n) in terms of the highest weight labels.
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.
