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For $\As$ a central simple algebra of even degree with hyperbolic orthogonal involution, we describe the canonically induced involution ${\underline \sigma}$ on the even Clifford algebra $(C_0(A,\sigma),{\underline \sigma})$ of $(A,\sigma)$ . When $\deg A \equiv 0 \mod{8}$ , $A \cong M_2(B)$ and the interesting part of ${\underline \sigma} $ is isomorphic to the canonical involution on an exterior power algebra of B. As a corollary, we get some properties of the involution on the exterior power algebra. |
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