On indecomposable algebras of exponent 2 |
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Authors: | A S Sivatski |
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Institution: | (1) Department of Mathematics, St.Petersburg Electrotechnical University, 197376 St.Petersburg, Russia |
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Abstract: | For any n ≥ 3 we give numerous examples of central division algebras of exponent 2 and index 2n over fields, which do not decompose into a tensor product of two nontrivial central division algebras, and which are sums
of n + 1 quaternion algebras in the Brauer group of the field.
Also, for any n ≥ 3 and any field k
0 we construct an extension F/k
0 and a multiquadratic extension L/F of degree 2n such that for any proper subextensions L
1/F and L
2/F
The work under this publication was partially supported by INTAS 00-566 and Royal society Joint Project “Quadratic forms and central simple algebras under field extensions”. |
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Keywords: | |
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