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$p$ -adic Clifford algebras

Bertin Diarra (1994)

Annales mathématiques Blaise Pascal

Pairs of Clifford algebras of the Hurwitz type

Wiesław Królikowski (1996)

Banach Center Publications

For a given Hurwitz pair $[S (Q_{S}), V (Q_{V}), o]$ the existence of a bilinear mapping $⭑ : C (Q_{S}) \times C (Q_{V}) \to C (Q_{V})$ (where $C (Q_{S})$ and $C (Q_{V}$ ) denote the Clifford algebras of the quadratic forms $Q_{S}$ and $Q_{V}$ , respectively) generated by the Hurwitz multiplication “o” is proved and the counterpart of the Hurwitz condition on the Clifford algebra level is found. Moreover, a necessary and sufficient condition for "⭑" to be generated by the Hurwitz multiplication is shown.

Pfaffians, central simple algebras and similtudes.

R. Sridharan, M.-A. Knus, R. Parimala (1991)

Mathematische Zeitschrift

Plane waves, biregular functions and hypercomplex Fourier analysis

Sommen, F. (1985)

Proceedings of the Winter School "Geometry and Physics"

Displaying 1 – 4 of 4

p -adic Clifford algebras

Pairs of Clifford algebras of the Hurwitz type

Pfaffians, central simple algebras and similtudes.

Plane waves, biregular functions and hypercomplex Fourier analysis

Currently displaying 1 – 4 of 4

$p$ -adic Clifford algebras