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The Block Structure of the Images of Regular Unipotent Elements from Subsystem Symplectic Subgroups of Rank \(2 \) in Irreducible Representations of Symplectic Groups. II

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Abstract

In the second part of the article, the investigation is continued of the block structure of the images of regular unipotent elements from subsystem subgroups of type \(C_2 \) in \(p\)-restricted irreducible representations of algebraic groups of type \(C_n\) in characteristic \(p>7 \) with locally small highest weights. In this part of the article, the solution of the problem on the dimensions of Jordan blocks of such images is completed for \(n=3 \) and for certain special representations of groups of arbitrary ranks.

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REFERENCES

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Funding

This research was supported by the Institute of Mathematics of the National Academy of Sciences of Belarus in the framework of the State Programme "Convergence – 2020".

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Authors and Affiliations

  1. Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, 220072, Belarus

    T. S. Busel & I. D. Suprunenko

Authors
  1. T. S. Busel
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  2. I. D. Suprunenko
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Correspondence to T. S. Busel or I. D. Suprunenko.

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Busel, T.S., Suprunenko, I.D. The Block Structure of the Images of Regular Unipotent Elements from Subsystem Symplectic Subgroups of Rank \(2 \) in Irreducible Representations of Symplectic Groups. II. Sib. Adv. Math. 30, 229–274 (2020). https://doi.org/10.1134/S105513442004001X

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  • DOI: https://doi.org/10.1134/S105513442004001X

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