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Abstract Let L be a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic zero and let I be the T-ideal of polynomial identities of the adjoint representation… Click to show full abstract
Abstract Let L be a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic zero and let I be the T-ideal of polynomial identities of the adjoint representation of L. We prove that the number of multilinear central polynomials in n variables, linearly independent modulo I, grows exponentially like ( dim L ) n {(\dim L)^{n}} .
Keywords:
lie algebras;
polynomials lie;
codimension growth;
growth central;
central polynomials
Journal Title: Forum Mathematicum
Year Published: 2019
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Journal Title: Forum Mathematicum
Year Published: 2019
Link to full text (if available)
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recommendations!