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Universal Algebras $${\mathcal{U}(V,Q)}$$U(V,Q) for Quadratic Mappings $${Q:V \rightarrow V}$$Q:V→V

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Published in 2017 at "Advances in Applied Clifford Algebras"

DOI: 10.1007/s00006-016-0707-5

Abstract: Let V be a vector space, and Q a quadratic mapping $${V \rightarrow V}$$V→V. This article studies the (universal) algebra $${\mathcal{U}(V,Q)}$$U(V,Q) generated by the elements $${v \in V}$$v∈V with the relations $${v^2=Q(v)}$$v2=Q(v). The properties of… read more here.

Keywords: algebras mathcal; mapping; mappings rightarrow; universal algebras ... See more keywords