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SOME PROPERTIES ON THE TENSOR SQUARE OF LIE ALGEBRAS
被引：13
|作者：
Niroomand, Peyman
[1
]
机构：
[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran
关键词：
Tensor square of Lie algebra;
Schur multiplier of Lie algebra;
SCHUR MULTIPLIER;
PRODUCTS;
D O I：
10.1142/S0219498812500855
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we extend the results of [2, 4] for the tensor square of Lie algebras. More precisely, for any Lie algebra L with L/L-2 of finite dimension, we prove L circle times L congruent to L square L circle times L Lambda L and Z(Lambda) (L) boolean AND L-2 = Z(circle times)(L). Moreover, we show that L Lambda L is isomorphic to derived subalgebra of a cover of L, and finally we give a free presentation for it.
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页数：6
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