On v-closed manis valution rings |
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| Authors: | Paolo Zanardo |
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| Institution: | Departimento di Mathematica , Univesit′ dell á , via Roma, 67100, Italy |
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| Abstract: | ABSTRACT The graded Lie algebra L associated to the Nottingham group with respect to its natural filtration is known to be a loop algebra of the first Witt algebra W 1 . The fact that the Schur multiplier of W 1 , in characteristic p > 3, is one-dimensional implies that L is not finitely presented. Consider the universal covering ? 1 of W 1 and the corresponding loop algebra M of ? 1 . In this paper we prove that M itself is finitely presented for p > 3. In characteristic p > 11 the algebra M turns out to be presented by two relations. |
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| Keywords: | Associated Lie structures Graded Lie algebras Infinite-dimensional Lie algebras Loop algebras Modular Lie algebras Nottingham group Pro-p-groups Witt algebra |
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