Cocycle d'Euler etK2 |
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Authors: | Jean Barge |
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Affiliation: | (1) Ecole Polytechnique, F-91128 Palaiseau Cedex, France |
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Abstract: | In this paper we construct a canonical 2-cocycle on the groupP SL(2,k) with values in the Witt groupW(k) of the fieldk. This allows us to produce anatural homomorphism :H2(SL(2,k); Z)I2(k), whereI2(k) is the square of the fundamental ideal. We prove that this homomorphism is in fact a lift of Milnor's symbol. |
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Keywords: | Canonical 2-cocycle Witt group natural homomorphism |
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