Spin characters of generalized symmetric groups
Spin characters of generalized symmetric groups
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广义对称群的自旋特征
DOI：
10.1007/s00605-013-0525-y
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发表时间：
2012-10
影响因子：
0.9
通讯作者：
Jing, Naihuan
中科院分区：
文献类型：
--
作者：
Hu, Xiaoli;Jing, Naihuan
In 1911 Schur computed the spin character values of the symmetric group using two important ingredients: the first one later became famously known as the Schur Q-functions and the second one was certain creative construction of the projective characters on Clifford algebras. In the context of the McKay correspondence and affine Lie algebras, the first part was generalized to all wreath products by the vertex operator calculus in Frenkel et al. (Duke Math J 111:51–96, 2002) where a large part of the character table was produced. The current paper generalizes the second part and provides the missing projective character values for the wreath product of the symmetric group with a finite abelian group. Our approach relies on Mackey–Wigner’s little groups to construct irreducible modules. In particular, projective modules and spin character values of all classical Weyl groups are obtained.
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DOI：
10.1017/cbo9780511542800
发表时间：
2005-06
期刊：
--
影响因子：
--
作者：
A. Kleshchev
通讯作者：
A. Kleshchev
DOI：
10.18452/162
发表时间：
1932-05
期刊：
--
影响因子：
--
作者：
W. Specht
通讯作者：
W. Specht
影响因子：
--
作者：
S. Ariki
通讯作者：
S. Ariki
影响因子：
0.9
作者：
N. Jing
通讯作者：
N. Jing
DOI：
10.1088/0305-4470/15/4/017
发表时间：
1982-04
期刊：
Journal of Physics A
影响因子：
--
作者：
R. King;B. G. Wybourne
通讯作者：
R. King;B. G. Wybourne