Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
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| Creator |
Sushchansky, V.I.
Netreba, N.V. |
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| Description |
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 L1. As a corollary we describe the Lie algebra associated with Sylow p-subgroup of any symmetric group in terms of wreath product of one-dimensional Lie algebras. |
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| Date |
2019-06-18T17:51:48Z
2019-06-18T17:51:48Z 2005 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2000 Mathematics Subject Classification: 17B30, 17B60, 20F18, 20F40. http://dspace.nbuv.gov.ua/handle/123456789/156611 |
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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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