The Block Structure of the Images of Regular Unipotent Elements from Subsystem Symplectic Subgroups of Rank $$2 $$ in Irreducible Representations of Symplectic Groups. III
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Abstract
This is the final part of the paper on the dimensions of Jordan blocks in the images of
regular unipotent elements from subsystem subgroups of type \(C_2 \) in \(p\)-restricted irreducible
representations of groups of type \(C_n\) in characteristic
\(p\geq 11 \) with locally small highest weights. Here the case
where \(n>3 \) and the restriction of a representation considered
to a canonical subgroup of type \(A_1\) containing such
element has a weight not less than \(p\), is investigated.
期刊介绍：
Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.
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