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- W4241458572 abstract "Explicit formulas for Segal–Sugawara vectors associated with the simple Lie algebra g of type G2 are found by using computer-assisted calculations. This leads to a direct proof of the Feigin–Frenkel theorem describing the center of the corresponding affine vertex algebra at the critical level. As an application, we give an explicit solution of Vinberg's quantization problem by providing formulas for generators of maximal commutative subalgebras of U(g). We also calculate the eigenvalues of the Hamiltonians on the Bethe vectors in the Gaudin model associated with g." @default.
- W4241458572 created "2022-05-12" @default.
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- W4241458572 date "1998-01-01" @default.
- W4241458572 modified "2023-10-14" @default.
- W4241458572 title "Editor's note" @default.
- W4241458572 doi "https://doi.org/10.1016/s1045-1870(98)80042-3" @default.
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