Supports and Groups in Meson Algebras

Meson algebras B(M, j){(M, \varphi)} are presumed to intervene in Physics in the same way as Clifford algebras; this motivates a study of meson algebras based on cliffordian ideas. The concept of support in M of an element of B(M, j){(M, \varphi)} is investigated: this support proves to be the sum of two partial supports. Then Clifford groups and Lipschitz groups are studied in relation to an orthogonal group and with somewhat weak hypotheses: M is any vector space over any field K, and j{\varphi} any symmetric bilinear form M × M → K.