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Quadratic forms and similarities
Author(s):
Daniel B.
Shapiro
Journal:
Bull. Amer. Math. Soc.
81
(1975),
1122-1124.
MSC (1970):
Primary 15A63, 15A66
MathSciNet review:
0384696
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References |
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Additional information
References:
- [G1]. M. R. Gabel, Generic orthogonal stably free projectives, J. Algebra 29 (1974), 477-488. MR 364348
- [G2]. A. V. Geramita and N. J. Pullman, A theorem of Hurwitz and Radon and orthogonal projective modules, Proc. Amer. Math. Soc. 42 (1974), 51-56. MR 48 #11090. MR 332764
- [G3]. A. V. Geramita and J. S. Wallis, Orthogonal designs, IV, Queen's Mathematical Preprint no. 1974-11, Queen's University, Kingston, Ontario.
- [H]. A. Hurwitz, Über-die Komposition der quadratischen Formen, Math. Ann. 88 (1923), 1-25. MR 1512117
- [J]. N. Jacobson, Composition algebras and their automorphisms, Rend Circ. Mat. Palermo (2) 7 (1958), 55-80. MR 21 #66. MR 101253
- [K1]. M. Knebusch, Specializations of quadratic and symmetric bilinear forms, and a norm theorem, Acta. Arith. 24 (1973), 279-299. MR 349582
- [K2]. M. Knebusch, Generic splitting of quadratic forms (to appear). MR 412101
- [L]. T.-Y. Lam, The algebraic theory of quadratic forms, Benjamin, New York, 1973. MR 396410
- [M]. A. W. McEvett, Forms over semisimple algebras with involution, J. Algebra 12 (1969), 105-113. MR 43 #244. MR 274481
- [S]. D. B. Shapiro, Cancellation of semisimple hermitian pairings, J. Algebra (to appear). MR 412218
- [W]. J. A. Wolf, Geodesic spheres in Grassmann manifolds, Illinois J. Math. 7 (1963), 425-446. MR 27 #6220. MR 156294
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13946-2
PII:
S 0002-9904(1975)13946-2
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