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Modular Loop Algebras of R.A. Loops

✍ Scribed by L.G.X. Debarros; C.P. Milies

Book ID
102971194
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
572 KB
Volume
175
Category
Article
ISSN
0021-8693

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In this paper, we study Z Γ— Z-graded Lie algebras A = i j∈Z A i j with dim A i j ≀ 1 satisfying (I) dim A Β±1 0 = dim A 0 Β±1 = 1, and A is generated by A Β±1 0 A 0 Β±1 ; (II) i∈Z A 0 j sl 2 ; (III) A -1 0 A 1 0 = 0, and adA Β±1 0 act faithfully on j∈Z A j 1 . We show that A is necessarily isomorphic