Abstract
Let R be a division ring. Let (R, Λ), with underlying J and ∈, be a form ring over R and let V = (V, q, h) be an n-dimensional, non-degenerate quadratic module over (R,Λ). The unitary group U(V) of V will now be denoted U n (V). While R is restricted to be a division ring, V will be general in this chapter. This contrasts sharply to the previous chapter which restricted itself for the most part to hyperbolic modules. An outline of the chapter follows.
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© 1989 Springer-Verlag Berlin Heidelberg
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Hahn, A.J., O’Meara, O.T. (1989). Unitary Groups over Division Rings. In: The Classical Groups and K-Theory. Grundlehren der mathematischen Wissenschaften, vol 291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13152-7_8
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DOI: https://doi.org/10.1007/978-3-662-13152-7_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05737-3
Online ISBN: 978-3-662-13152-7
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