Abstract
Let I be a left ideal of a group ring \mathbb C[G] of a finite group G , for which a decomposition I = \oplus ^m_{k=1} I_k into minimal left ideals I_k is given. We present an algorithm, which determines a decomposition of the left ideal I \cdot a, a \in \mathbb C[G] , into minimal left ideals and a corresponding set of primitive orthogonal idempotents by means of a computer. The algorithm is motivated by the computer algebra of tensor expressions. Several aspects of the connection between left ideals of the group ring \mathbb C[S_r] of a symmetric group S_r , their decomposition and the reduction of tensor expressions are discussed.
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.
