Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On character formulas for simple and tilting modules   We show that the characters of tilting modules can be used, in a concrete and
explicit way, to obtain the simple characters of a connected reductive
algebraic group $G$ over an algebraically closed field $\Bbbk$ of
characteristic $p$, for all $p$. Thus, once a formula for the characters of the
indecomposable tilting $G$-modules has been found, a formula for the simple
modules has been also. An immediate implication is that the work of Achar,
Makisumi, Riche, and Williamson in \cite{AMRW} provides a character formula for
simple $G$-modules when $p>h$, the Coxeter number of $G$.

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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: stat