It is well known that the Clifford algebra C1M associated to a nondegenerate quadratic form on R~n (n = p + q) is isomorphic to a matrix algebra K(m) or direct sum K(m) ffi K(m) of matrix algebras, where K = R,C.H. On the other hand, there are no explicit expressions for these isomorphisms in literature. In this work, we give a method for the explicit construction of these isomorphisms.
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机译:众所周知,与R〜n(n = p + q)上的非退化二次形式相关的Clifford代数C1M与矩阵的代数K(m)或矩阵的直接和K(m)ffi K(m)同构代数,其中K = R,CH另一方面,文献中没有这些同构的明确表述。在这项工作中,我们给出了一种明确构造这些同构的方法。
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