Lipschitzian subspaces in Clifford algebras
In every Clifford algebra Cl\((V,q)\) there is a Lipschitz monoid Lip\((V,q)\) which in general is the multiplicative (or semi-group) generated by \(V\). Its even or odd components are closed irreducible algebraic submanifolds. When \(\dim(V)\) is bigger then 3 it is sensible to search for all linear subspaces contained in Lip\((V,q)\). All these Lipschitzian subspaces are described in the paper, and many properties are established which involve the essential concept of ``adjacent Lipschitzian elements''.
scientific article; zbMATH DE number 5888504