Matrix representations of finitely generated Grassmann algebras and some consequences
نویسندگان
چکیده
We prove that the m-generated Grassmann algebra can be embedded into a 2 × 2 matrix algebra over a factor of a commutative polynomial algebra in m indeterminates. Cayley–Hamilton and standard identities for n× n matrices over the m-generated Grassmann algebra are derived from this embedding. Other related embedding results are also presented.
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