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arXiv · 1403.1700

Classical W-algebras in types A, B, C, D and G

A. I. Molev·E. Ragoucy
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Abstract

We produce explicit generators of the classical W-algebras associated with the principal nilpotents in the simple Lie algebras of all classical types and in the exceptional Lie algebra of type $G_2$. The generators are given by determinant formulas in the context of the Poisson vertex algebras. We also show that the images of the W-algebra generators under the Chevalley-type isomorphism coincide with the elements defined via the corresponding Miura transformations.

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BibTeXRIS

A. I. Molev, E. Ragoucy. 2014-03-07. Classical W-algebras in types A, B, C, D and G. https://doi.org/10.1007/s00220-014-2239-y

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