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Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].
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Alternate descriptions of finite fields
An alternate description that works for every finite field is the matrix representation: any finite field of order $q^m$ can be represented by a matrix algebra $\mathbb F_q[M]$ where $M$ is a $m\times …