An infinite-dimensional evolution algebra is a type of algebraic structure that consists of an infinite-dimensional vector space equipped with a bilinear product that describes the evolution of certain systems over time. These algebras are particularly useful in modeling dynamic systems and processes, where the evolution of states is governed by specific rules defined by the algebraic operations. This concept is closely related to non-associative algebras and provides a framework for analyzing complex behaviors in various mathematical and physical contexts.
congrats on reading the definition of infinite-dimensional evolution algebra. now let's actually learn it.