Wick polynomials in noncommutative probability: a group-theoretical approach

DOI10.4153/S0008414X21000407zbMath1506.17002arXiv2001.03808OpenAlexW3193630768MaRDI QIDQ5055457

Lorenzo Zambotti, Kurusch Ebrahimi-Fard, Frédéric Patras, Nikolas Tapia

Publication date: 14 December 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03808

zbMATH Keywords

group actionsformal power seriesshuffle algebrafree cumulantscombinatorial Hopf algebraWick polynomialsBoolean cumulantsmonotone cumulants

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Nonassociative algebras satisfying other identities (17A30) Bialgebras (16T10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (2)

Shifted substitution in non-commutative multivariate power series with a view toward free probability ⋮ Algebraic structures underlying quantum independences: theory and applications

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