New representations of affine Kac-Moody algebras
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DOI: 10.1016/j.jalgebra.2019.11.014
Abstract: Abstract Let h ˜ be a Cartan subalgebra of an affine Kac-Moody algebra without containing the center. In this paper, we classify the module structures on U ( h ˜ ) for all affine Kac-Moody… read more here.
Keywords: moody algebras; affine kac; representations affine; kac moody ... See more keywords
On the structure of Kac–Moody algebras
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DOI: 10.4153/s0008414x20000358
Abstract: Abstract Let A be a symmetrisable generalised Cartan matrix, and let $\mathfrak {g}(A)$ be the corresponding Kac–Moody algebra. In this paper, we address the following fundamental question on the structure of $\mathfrak {g}(A)$ : given… read more here.
Keywords: moody algebras; kac moody; moody; structure kac ... See more keywords