Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
We define a wreath product of a Lie algebra L with the one-dimensional Lie algebra L1 over Fp and determine some properties of this wreath product. We prove that the Lie algebra associated with the Sylow p-subgroup of finite symmetric group Spm is isomorphic to the wreath product of m copies of...
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| Date: | 2005 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156611 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups / V.I. Sushchansky, N.V. Netreba // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 122–132. — Бібліогр.: 11 назв. — англ. |