Geodesic
Involutions and trace forms on exterior powers of a central simple algebra
Documenta mathematica, Tome 6 (2001), pp. 97-118
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For A a central simple algebra of degree 2n, the nth exterior power algebra λnA 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.
DOI : 10.4171/dm/98
Classification : 11E81, 16K20, 20G05
Mots-clés : trace forms, involutions, central simple algebras 
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     author = {R.Skip Garibaldi and Jean-Pierre Tignol and Anne Qu\'eguiner-Mathieu},
     title = {Involutions and trace forms on exterior powers of a central simple algebra},
     journal = {Documenta mathematica},
     pages = {97--118},
     year = {2001},
     volume = {6},
     doi = {10.4171/dm/98},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/98/}
}
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R.Skip Garibaldi; Jean-Pierre Tignol; Anne Quéguiner-Mathieu. Involutions and trace forms on exterior powers of a central simple algebra. Documenta mathematica, Tome 6 (2001), pp. 97-118. doi: 10.4171/dm/98

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