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Graded automorphism group of TKK Lie algebra over semilattice |
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| Authors: | Zhang?Sheng?Xia author-information" > author-information__contact u-icon-before" > mailto:xzsw@.com" title=" xzsw@.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | School of Sciences, Hubei University for Nationalities, Enshi 445000, P. R. China |
| Abstract: | Every extended affine Lie algebra of type A 1 and nullity ν with extended affine root system R(A 1, S), where S is a semilattice in ℝ ν , can be constructed from a TKK Lie algebra T (J (S)) which is obtained from the Jordan algebra J (S) by the so-called Tits-Kantor-Koecher construction. In this article we consider the ℤ n -graded automorphism group of the TKK Lie algebra T (J (S)), where S is the “smallest” semilattice in Euclidean space ℝ n . |
| Keywords: | Graded automorphism group TKK Lie algebra semilattice |
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