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The structure of the dual Lie coalgebra of the Witt algebra

1990; Elsevier BV; Volume: 68; Issue: 3 Linguagem: Inglês

10.1016/0022-4049(90)90091-u

1873-1376

Warren D. Nichols,

Nonlinear Waves and Solitons

Over a field K of characteristic different from 2, the Lie coalgebra dual to the Lie algebra of derivations of the polynomials in one variable over K consists of the linear recursive sequences. When K is algebraically closed, the structure of that Lie coalgebra is determined explicitly.