Abstract
A study of the relation between topology change, energy and Lie algebra representations for fuzzy geometry in connection to M‐theory is presented. We encounter two different types of topology change, related to the different features of the Lie algebra representation appearing in the matrix models of M‐theory. From these studies, we propose a new method of obtaining non‐commutative solutions for the non‐Abelian D‐brane action found by Myers. This mechanism excludes one of the two topology changing processes previously found in other non‐commutative solutions of many matrix‐based models in M‐theory i.e. in M(atrix) theory, Matrix string theory and non‐Abelian D‐brane physics.
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