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періодичних видань НАН України
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
Репозиторій DSpace/Manakin
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Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
Інший ID:
2000 Mathematics Subject Classification: 17B30, 17B60, 20F18, 20F40.
Посилання:
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.
Дата:
2005
Переглядів:
469
Завантажень:
140
Анотація:
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.
