Abstract
Let \(\phi \,\, \in \,\, N_{\rm GL(V)}(G)\) with finite order. Let \((d_1, \zeta_1), (d_2, \zeta_2), ... , (d_r, \zeta_r)\) be the family of generalized characteristic degrees of (G, φ): there exists an algebraic basis \((u_i)_{1 \leq i \leq r}\) of R such that, for \(1 \leq i \leq r\) we have \(\deg u_i = d_i\,\, {\rm and}\,\, \phi (u_i) = \zeta_i u_i\).
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© 2010 Springer-Verlag Berlin Heidelberg
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Broué, M. (2010). Eigenspaces and Regular Elements. In: Introduction to Complex Reflection Groups and Their Braid Groups. Lecture Notes in Mathematics(), vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11175-4_5
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DOI: https://doi.org/10.1007/978-3-642-11175-4_5
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