Access the full text.
Sign up today, get DeepDyve free for 14 days.
R. Parimala, R. Sridharan, V. Suresh (1993)
A question on the discriminants of involutions of central division algebrasMathematische Annalen, 297
A. Albert (1932)
Normal division algebras of degree four over an algebraic fieldTransactions of the American Mathematical Society, 34
M. Raghunathan (1989)
Principal bundles on affine space and bundles on the projective lineMathematische Annalen, 285
H. Bass, E. Connell, D. Wright (1976)
Locally polynomial algebras are symmetric algebrasInventiones mathematicae, 38
K. Hulek (1980)
On the Classification of Stable Rank-r Vector Bundles over the Projective Plane
R. Parimala (1986)
Indecomposable quadratic spaces over the affine planeAdvances in Mathematics, 62
M. Knus (1991)
Quadratic and Hermitian Forms over Rings
M. Knus, R. Parimala, R. Sridharan (1981)
Non-free projective modules over ℍ[X, Y] and stable bundles over ℙ2(ℂ)Inventiones mathematicae, 65
M. Ojanguren, R. Sridharan (1971)
Cancellation of Azumaya algebrasJournal of Algebra, 18
W. Barth (1977)
Moduli of vector bundles on the projective planeInventiones mathematicae, 42
W. Barth, K. Hulek (1978)
Monads and moduli of vector bundlesmanuscripta mathematica, 25
Math. Z. 232, 589–605 (1999) c Springer-Verlag 1999 1 2 1 1 R. Parimala , P. Sinclair , R. Sridharan , V. Suresh School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005, India (e-mail: parimala/sridhar/suresh@math.tifr.res.in) School of Sciences, Indira Gandhi National Open University, New Delhi, 110068, India (e-mail: ignousos@del2.vsnl.net.in) Received May 26, 1998; in final form September 29, 1998 Introduction Let k be a field of characteristic not equal to 2. In ([P]), it was proved that if k admits an anisotropic quadratic form q of rank 3, then there exists an infinite family of non-isomorphic indecomposable quadratic spaces over the affine plane whose “form on the fibre” is isometric to q .Now,let K be a field extension of k of degree at most 2. Let D be a finite-dimensional central division algebra over K with an involution . Let k be the fixed field of restricted to K . We say that is of first kind if K = k and is of second kind if [K : k]=2. We sometimes call a K=k-involution. Suppose D 6= K and that D admits an anisotropic hermitian form h over D with
Mathematische Zeitschrift – Springer Journals
Published: Dec 1, 1999
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.