Projective Representations of Finite Reflection Groups. III

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.

Key Words:

• Reflection group
• Projective representation
• Clifford algebra
• Representation theory

Mathematics Subject Classification:

• Primary 20C30
• Secondary 20H15

Acknowledgments

Notes

^#Communicated by A. Turull.