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- W2031297744 abstract "Let A[2] be the 2-fold affinization of a Cartan matrix A of ADE type. Associated to the generalized intersection matrix algebra gim(A[2]) there are two indefinite Kac–Moody algebras g(A[2]˜) and g(A[2]˜τ), where A[2]˜ is the covering matrix of A[2] and A[2]˜τ is obtained from a diagram automorphism τ of g(A[2]˜). We show that there is a bijection between non-isotropic positive imaginary roots of g(A[2]˜τ) and those of g(A[2]˜), which is applied to describe the 0-root space and the center of gim(A[2]). Derivations of gim(A[2]) which can be extended to derivations of g(A[2]˜) are determined." @default.
- W2031297744 created "2016-06-24" @default.
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- W2031297744 date "2015-03-01" @default.
- W2031297744 modified "2023-09-23" @default.
- W2031297744 title "Some gim algebras and the associated indefinite Kac–Moody algebras" @default.
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- W2031297744 doi "https://doi.org/10.1016/j.jalgebra.2014.11.012" @default.
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