Normal Reflection Subgroups of Complex Reflection Groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866909543527612416 |
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| author | Arreche, Carlos E. Williams, Nathan F. |
| author_facet | Arreche, Carlos E. Williams, Nathan F. |
| contents | We study normal reflection subgroups of complex reflection groups. Our approach leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalized exponents. Our refinement gives a uniform proof and generalization of a recent theorem of the second author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_09778 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Normal Reflection Subgroups of Complex Reflection Groups Arreche, Carlos E. Williams, Nathan F. Combinatorics Representation Theory 20F55 (Primary) 05E10 (Secondary) We study normal reflection subgroups of complex reflection groups. Our approach leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalized exponents. Our refinement gives a uniform proof and generalization of a recent theorem of the second author. |
| title | Normal Reflection Subgroups of Complex Reflection Groups |
| topic | Combinatorics Representation Theory 20F55 (Primary) 05E10 (Secondary) |
| url | https://arxiv.org/abs/2007.09778 |