Lie Algebra
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A Lie algebra is a nonassociative algebra corresponding to a Lie group.
Lie algebra is a graduate-level concept that would be first encountered in an abstract algebra course.
Prerequisites
| Algebra: | (1) Algebra is a subject taught in grade school and high school, sometimes referred to as "arithmetic", that includes the solution of polynomial equations in one or more variables and basic properties of functions and graphs. (2) In higher mathematics, the term algebra generally refers to abstract algebra, which involves advanced topics that deal with abstract algebraic structures rather than the usual number systems. (3) In topology, an algebra is a vector space that also possesses a vector multiplication. |
| Group: | A mathematical group is a set of elements and a binary operation that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse property. |