Involutions and Trace Forms on Exterior Powers of a Central Simple Algebra
(2001) Documenta Mathematica — Vol. 6, n° 1, p. 97-118 (2001)
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- Abstract
- For A a central simple algebra of degree 2n, the n-th exterior power algebra λ^nA is endowed with an involution which provides an interesting invariant of A. In the case where A is isomorphic to Q ⊗ B for some quaternion algebra Q, we describe this involution quite explicitly in terms of the norm form for Q and the corresponding involution for B.
- Affiliations
Université Paris 13 LAGA University of California Los Angeles Department of Mathematics
Citations
Quéguiner-Mathieu, A., Garibaldi, R. S., & Tignol, J.-P. (2001). Involutions and Trace Forms on Exterior Powers of a Central Simple Algebra. Documenta Mathematica, 6(1), 97-118. https://hdl.handle.net/2078.5/268671 (Original work published 2001)