Branches that treat algebra through vector spaces, matrices, continuous symmetry and the action of structures on spaces. An entry belongs here when its cited source describes linear maps and matrices over a field, the study of Lie groups and Lie algebras, or the way abstract groups and algebras are realised as linear transformations. It does not belong here when the branch studies an abstract structure without reference to linear action, which belongs with the general structures or with groups rings and fields. The group collects the parts of algebra that connect most directly to geometry, physics and applied linear computation.
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Linear, Lie and Representation Algebra
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Linear Algebra (Wikipedia)
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Linear algebra is the branch of mathematics concerning linear equations
View the Source Wikipedia: Representation Theory
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Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces.
View the Source Lie Theory (Wikipedia)
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In mathematics, the mathematician Sophus Lie ( LEE) initiated lines of study involving integration of differential equations, automorphism groups and contact of spheres that have come to be called Lie theory.
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