Hom-spaces for subregular nilpotent representations of <inline-formula><tex-math id="M1">\begin{document}${\frak s}{\frak l}(n+1)$\end{document}</tex-math></inline-formula>

LI Yi-yang; SHU Bin; YE Gang

doi:10.3969/j.issn.1000-5641.2018.03.002

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May 2018

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LI Yi-yang, SHU Bin, YE Gang. Hom-spaces for subregular nilpotent representations of ${\frak s}{\frak l}(n+1)$[J]. Journal of East China Normal University (Natural Sciences), 2018, (3): 18-24, 45. doi: 10.3969/j.issn.1000-5641.2018.03.002

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LI Yi-yang, SHU Bin, YE Gang. Hom-spaces for subregular nilpotent representations of ${\frak s}{\frak l}(n+1)$[J]. Journal of East China Normal University (Natural Sciences), 2018, (3): 18-24, 45. doi: 10.3969/j.issn.1000-5641.2018.03.002

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Hom-spaces for subregular nilpotent representations of ${\frak s}{\frak l}(n+1)$

doi: 10.3969/j.issn.1000-5641.2018.03.002

LI Yi-yang^1
,,
SHU Bin^{2
,
,},
YE Gang²

1.
School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China
2.
School of Mathematical Sciences, East China Normal University, Shanghai 200241, China

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Corresponding author: 舒斌, 男, 教授, 研究方向为李代数与表示理论.E-mail:bshu@math.ecnu.edu.cn
Received Date: 2017-04-17
Publish Date: 2018-05-25

Abstract

Abstract

Let ${\frak g}={\frak {sl}}(n+1)$ be the special linear Lie algebra over an algebraically closed field $\textbf{k}$ of prime characteristic $p$ with $p \nmid n+1$. We show that the hom-spaces between any two baby Verma modules in the same given block are always nonzero for subregular nilpotent representations of $\frakg$, which reveals a complete linkage atlas for baby Verma modules.
- standard Levi-form,
- baby Verma module,
- subregular nilpotent,
- homspaces

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References(4)

References

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