Inner automorphisms of Lie algebras related with generic 2 × 2 matrices
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Inner automorphisms of Lie algebras related with generic 2 × 2 matrices
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| Creator |
Drensky, V.
Fındık, S. |
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| Description |
Let Fm = Fm(var(sl₂(K))) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl₂(K) over a field K of characteristic 0. Translating an old result of Baker from 1901 we present a multiplication rule for the inner automorphisms of the completion Fmˆ of Fm with respect to the formal power series topology. Our results are more precise for m = 2 when F₂ is isomorphic to the Lie algebra L generated by two generic traceless 2×2 matrices. We give a complete description of the group of inner automorphisms of Lˆ. As a consequence we obtain similar results for the automorphisms of the relatively free algebra Fm / Fm c⁺¹ = Fm(var(sl₂(K)) ∩ Nc)
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| Date |
2019-06-09T05:50:12Z
2019-06-09T05:50:12Z 2012 |
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| Type |
Article
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| Identifier |
Inner automorphisms of Lie algebras related with generic 2 × 2 matrices / V. Drensky, S. Fındık // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 49-70. — Бібліогр.: 23 назв. — англ.
1726-3255 2010 MSC:17B01, 17B30, 17B40, 16R30. http://dspace.nbuv.gov.ua/handle/123456789/152228 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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