Abstract
We show that a well-known polarization formula for Hermitian inner products on complex vector spaces generalizes to the case of inner products on Clifford modules. This observation allows us to conclude that norm-preserving linear maps of Clifford modules necessarily preserve the inner product. These results hold for modules over the quaternions as a special case.
Original language | English |
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Pages (from-to) | 191-194 |
Number of pages | 4 |
Journal | Linear and Multilinear Algebra |
Volume | 35 |
Issue number | 3-4 |
DOIs | |
State | Published - Aug 1 1993 |