Identities for permutations with fixed points
Jean-Christophe Pain
TL;DR
This paper introduces mathematical identities related to permutations with fixed points, derived through determinant calculations of specific matrices, contributing to combinatorial and algebraic understanding.
Contribution
It provides new identities for permutations with fixed points based on determinant-based derivations and integrations, offering novel combinatorial formulas.
Findings
Derived identities for permutations with fixed points
Formulas based on matrix determinants and integrations
Enhanced understanding of permutation structures
Abstract
We present identities for permutations with fixed points. The formulas are based on successive derivations or integrations of the determinant of a particular matrix.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Bayesian Methods and Mixture Models · Random Matrices and Applications