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EXOTIC SYMMETRIC SPACE OVER A FINITE FIELD, II

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Abstract

This paper is the second of the papers of the same title. In this paper, we prove a conjecture of Achar–Henderson, which asserts that the Poincaré polynomials of the intersection cohomology complex associated to the closure of Sp2n -orbits in the Kato's exotic nilpotent cone coincide with the modified Kostka polynomials indexed by double partitions, introduced by the first author. Actually, this conjecture was recently proved by Kato by a different method. Our approach is based on the theory of character sheaves on the exotic symmetric space.

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, 1239 Siping Road, Shanghai, 200092, P. R. China

    T. SHOJI

  2. L.A.M.F.A, CNRS UMR 7352, Université de Picardie-Jules Verne, 33 rue Saint Leu, F-80039, Amiens Cedex I, France

    K. SORLIN

Authors
  1. T. SHOJI
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  2. K. SORLIN
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Correspondence to T. SHOJI.

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*ANR JCJC REPRED, ANR-09-JCJC-0102-01.

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SHOJI, T., SORLIN, K. EXOTIC SYMMETRIC SPACE OVER A FINITE FIELD, II. Transformation Groups 19, 887–926 (2014). https://doi.org/10.1007/s00031-014-9272-y

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  • DOI: https://doi.org/10.1007/s00031-014-9272-y

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