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Clifford algebras of hyperbolic involutions
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Original article
Clifford algebras of hyperbolic involutions
R. Skip Garibaldi1
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UCLA, Department of Mathematics, Los Angeles, California 90095-1555, USA (e-mail: skip@member.ams.org)
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Abstract. For a central simple algebra of even degree with hyperbolic orthogonal involution, we describe the canonically induced involution
on the even Clifford algebra of . When , and the interesting part of 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.
Received January 27, 1998; in final form June 7, 2000 / Published online October 30, 2000
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