Report
Computing monomial bases in Lie theory using OSCAR
| العنوان: | Computing monomial bases in Lie theory using OSCAR |
|---|---|
| المؤلفون: | Fang, Xin, Fourier, Ghislain, Göttgens, Lars, Wilop, Ben |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Algebraic Geometry, 17B10, 14M25, 14D06, 14M15, 14-04, 97N80 |
| الوصف: | 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. Comment: 16 pages, Submitted as a bookchapter for the upcoming Oscar book |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.15018 |
| رقم الانضمام: | edsarx.2403.15018 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |