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Mathematics of the USSR-Sbornik, 1991
The paper is devoted to the construction of affine Kac-Moody algebras via defining relations arising from an integral affine Cartan matrix, in the case where the ground field has positive characteristic p > 7. Explicit constructions are given for algebras obtained in this way; in distinction with the zero characteristic case they have infinite ...
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The paper is devoted to the construction of affine Kac-Moody algebras via defining relations arising from an integral affine Cartan matrix, in the case where the ground field has positive characteristic p > 7. Explicit constructions are given for algebras obtained in this way; in distinction with the zero characteristic case they have infinite ...
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Affine Lie algebras and vertex operator algebras
1993In this chapter we shall discuss standard (or integrable highest weight) representations of affine Kac-Moody algebras from the point of view of vertex operator algebra theory. This will also provide the setting for the next chapter. We restrict our attention to a simple Lie algebra G of type A, D or E.
Chongying Dong, James Lepowsky
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Variational algorithms for linear algebra
Science Bulletin, 2021Xiaosi Xu, Jinzhao Sun, Suguru Endo
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Mixed precision algorithms in numerical linear algebra
Acta Numerica, 2022Nicholas J Higham, Theo Mary
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Realizations of affine Lie algebras
2019This is an expository paper on some realizations of affine Lie algebras and their representations in terms of differential operators. In particular we recall the classical construction of Wakimoto modules and its recent generalization - Intermediate Wakimoto modules [CF].
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Spacetime algebra as a powerful tool for electromagnetism
Physics Reports, 2015Justin Dressel +2 more
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