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Reflection length in the general linear and affine groups

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arxiv 1803.03070 v1 pith:PISCS3PC submitted 2018-03-08 math.GR math.CO

Elise G. delMas , Joel Brewster Lewis This is my paper · ORCID
classification math.GRmath.CO
keywords generalreflectionaffinegivegrouplengthlinearcomputing
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We give an intrinsic criterion to tell whether a reflection factorization in the general linear group is reduced, and give a formula for computing reflection length in the general affine group.

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Cited by 1 Pith paper

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  1. Stability of the centers of group algebras of general affine groups $GA_n(q)$

    math.RT 2025-06 conditional novelty 6.0 of 10

    The graded center of Z[GA_n(q)] has n-independent structure constants at maximal reflection length, yielding a universal stable center G(q).

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