The Universal Pre-Lie–Rinehart Algebras of Aromatic Trees
نویسندگان
چکیده
We organize colored aromatic trees into a pre-Lie–Rinehart algebra (i.e., flat torsion-free Lie–Rinehart algebra) endowed with natural trace map, and show the freeness of this object among algebras trace. This yields algebraic foundations B-series.
منابع مشابه
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Springer proceedings in mathematics & statistics
سال: 2021
ISSN: ['2194-1009', '2194-1017']
DOI: https://doi.org/10.1007/978-3-030-78346-4_9