Abstract
It is a common feature in mathematics that recursive formulas can often be expanded into summation formulas over a certain set of combinatorial data. In this chapter we consider the cases where the combinatorial data involved are rooted trees (Definition 14.1.2) possibly equipped with additional data (orientation, labelling etc.). In particular, we shall provide tree summation formulas for the BCH product (recursive formula of Definition 2.5.1) and for the homotopy transfer of \(L_{\infty }[1]\)-structures (recursive formula of Theorem 12.4.1).
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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
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Manetti, M. (2022). Tree Summation Formulas. In: Lie Methods in Deformation Theory. Springer Monographs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-19-1185-9_14
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DOI: https://doi.org/10.1007/978-981-19-1185-9_14
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Online ISBN: 978-981-19-1185-9
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