Computing monomial bases in Lie theory using OSCAR
Abstract
In this survey, we present a detailed guide on using the computer algebra system OSCAR to compute monomial bases for simple, finite-dimensional modules of simple, complex Lie algebras. We will also demonstrate how to determine monomial bases for the homogeneous coordinate ring of a (partial) flag variety, depending on a chosen birational sequence and a monomial order. This survey will be updated to reflect any advancements in OSCAR's capabilities in these areas.
Authors 3
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Xin Fang Aachen
Affiliation as printed
RWTH Aachen
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Lars Göttgens Aachen
Affiliation as printed
RWTH Aachen
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Ben Wilop Aachen
Affiliation as printed
RWTH Aachen
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