Expected Reflection Distance in G(r, 1, n) after a Fixed Number of Reflections |
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| Authors: | Niklas Eriksen Axel Hultman |
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| Institution: | (1) Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden;(2) Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, 35032 Marburg, Germany |
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| Abstract: | Extending to r > 1 a formula of the authors, we compute the expected reflection distance of a product of t random reflections in the complex reflection group G(r, 1, n). The result relies on an explicit decomposition of the reflection distance function into irreducible G(r, 1, n)-characters and on the eigenvalues of certain adjacency matrices.Received December 8, 2003 |
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| Keywords: | 05C12 82B41 51F15 |
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