Establishing lower bounds for standard algebraic operations is one of the most challenging tasks in Theoretical Computer Science. In this study, researchers discuss lower bounds for matrix multiplication. After a historical review of the progress in this problem. Researchers review a recent development highlighting how the techniques of Group Representation Theory have been applied to give a new approach. Infact, this approach has led to two conjectures whose resolution would achieve the ideal bound for matrix multiplication.
V. Srimathi. Group Representations and Complexity Theory: A Review.
DOI: https://doi.org/10.36478/jeasci.2012.418.420
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2012.418.420