Coxeter combinatorics for sum formulas in the representation theory of algebraic groups
Coxeter combinatorics for sum formulas in the representation theory of algebraic groups
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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Let \(G\) be a simple algebraic group over an algebraically closed field \(\mathbb{F}\) of characteristic \(p\geq h\), the Coxeter number of \(G\). We observe an easy `recursion formula' for computing the Jantzen sum formula of a Weyl module with \(p\)-regular highest weight. We also discuss a `duality formula' that relates the Jantzen sum formula...
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Coxeter combinatorics for sum formulas in the representation theory of algebraic groups
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TN_cdi_proquest_journals_2549693073
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2549693073
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E-ISSN
2331-8422
DOI
10.48550/arxiv.2107.03310
