Steinberg Unitary Lie Algebras and Skew-Dihedral Homology
Steinberg Unitary Lie Algebras and Skew-Dihedral Homology
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DOI：
10.1006/jabr.1996.0013
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发表时间：
1996
影响因子：
0.9
通讯作者：
Yung Gao
中科院分区：
文献类型：
--
作者：
Yung Gao
本文主要研究Steinberg酉李代数，斜二面体同调，以及它们之间的关系。Steinberg酉李wx代数是由Allison和Faulkner AF首先提出的，它是一种推广的-Steinberg酉李wx代数. Steinberg李代数的性质见KL和F.更精确地说，设k是一个域，R是一个有单位元的结合k-代数，配有一个带单位元的结合k-代数。y反对合。对于n G3，初等酉李代数<$. - 是的n阶矩阵李代数nny 1的子代数
This paper is about Steinberg unitary Lie algebras, skew-dihedral homology, and their relationship to one another. Steinberg unitary Lie wx algebras, first introduced by Allison and Faulkner AF, are a generaliza-Ž wx w x. tion of Steinberg Lie algebras see KL and F. More precisely, let k be a field and R an associative k-algebra with identity, equipped with an Ž. y anti-involution. For n G 3, the elementary unitary Lie algebra Ž. Ž. Ž eu R, y, is the subalgebra of gl R the n by n matrix Lie algebra n n y1