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$p$-filtrations of dual Weyl modules. (arXiv:1810.04052v1 [math.RT])
来源于:arXiv
Let $G$ be a semisimple algebraic group over a field of characteristic $p >
0$. We prove that the dual Weyl modules for $G$ all have $p$-filtrations when
$p$ is not too small. Moreover, we give applications of this theorem to
$p^n$-filtrations for $n > 1$, to modules containing the Steinberg module as a
tensor factor, and to the Donkin conjecture on modules having $p$-filtrations. 查看全文>>
