Projective Representations of Finite Reflection Groups. III

Projective Representations of Finite Reflection Groups. III
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有限反射群的投影表示。

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发表时间:
2004
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通讯作者:
A. Morris
A. Morris
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作者:
A. Morris

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本文首先由I.Ihara和T.Yokonuma构造了反射群的Schur乘子。后来,R.B.Howlett给出了任意Coxeter群的一个更统一但不那么具体的构造。本文利用Clifford代数给出了一种比I.Ihara和T.Yokonuma最初使用的方法更统一的方法。
Abstract The Schur multipliers of reflection groups were first constructed by I. Ihara and T. Yokonuma. Later, R. B. Howlett gave a more unified, but less concrete, construction for arbitrary Coxeter groups. In this paper, Clifford algebras are used to give a more unified approach than that originally used by I. Ihara and T. Yokonuma.