A note on free divergence-free vector fields

Autor:	Ito, Hyuga, Miyagawa, Akihiro
Rok vydání:	2023
Předmět:	Mathematics - Operator Algebras Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	We exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimension of Voiculescu's free divergence-free vector field of degree k or less. Moreover, we also give a concrete formula for the orthogonal projection onto the space of cyclic gradients as well as the free Leray projection. Comment: 8 pages. We improved the introduction and added one remark in the last part. We also added examples of vectors in the free divergence-free vector field, inspired by the classical case
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.15550 Zobrazit plný text záznamu View this record from Arxiv