Products of quasireflections and transvections over local rings

Projective metric geometry and Clifford algebras

“…Our quest for going over to the projective space on Cl(V, Q) comes from an observation resulting from (35): for all homogeneous elements p, q ∈ Cl(V, Q), we have F(pq) = F(p⊙ c q) despite the fact that their products pq and p ⊙ c q need not coincide. From (11), Theorem 6.2, Theorem 6.3 and Remark 6.4 we readily obtain: Corollary 6.6. Let (V, Q) be a metric vector space and let c ∈ F × .…”

“…We refer to [15], [16], [39] for proofs and to [4], [9], [10], [11], [12], [14], [29], [37], [43, p. 18], [46], [50, 1.6.3], [53, pp. 156-159] for further details, generalisations and additional references.…”

Projective Metric Geometry and Clifford Algebras

“…We refer to [15,16,39] for proofs and to [4,[9][10][11][12]14,29,37], [43, p. 18], [46], [50, 1.6.3], [53, pp. 156-159] for further details, generalisations and additional references.…”

“…Similarly, one may write up analogues of ( 9), (10), (11) and (12). In what follows right now, we shall adopt a slightly different point of view.…”