On the classification of 3 -dimensional F -manifold algebras

Zhiqi Chen; Jifu Li; Ming Ding

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 4, page 1191-1204
  • ISSN: 0011-4642

Abstract

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F -manifold algebras are focused on the algebraic properties of the tangent sheaf of F -manifolds. The local classification of 3-dimensional F -manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional F -manifold algebras over the complex field ℂ .

How to cite

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Chen, Zhiqi, Li, Jifu, and Ding, Ming. "On the classification of $3$-dimensional $F$-manifold algebras." Czechoslovak Mathematical Journal 72.4 (2022): 1191-1204. <http://eudml.org/doc/298893>.

@article{Chen2022,
abstract = {$F$-manifold algebras are focused on the algebraic properties of the tangent sheaf of $F$-manifolds. The local classification of 3-dimensional $F$-manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional $F$-manifold algebras over the complex field $\mathbb \{C\}$.},
author = {Chen, Zhiqi, Li, Jifu, Ding, Ming},
journal = {Czechoslovak Mathematical Journal},
keywords = {$F$-manifold; Poisson algebra; $F$-manifold algebra},
language = {eng},
number = {4},
pages = {1191-1204},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the classification of $3$-dimensional $F$-manifold algebras},
url = {http://eudml.org/doc/298893},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Chen, Zhiqi
AU - Li, Jifu
AU - Ding, Ming
TI - On the classification of $3$-dimensional $F$-manifold algebras
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1191
EP - 1204
AB - $F$-manifold algebras are focused on the algebraic properties of the tangent sheaf of $F$-manifolds. The local classification of 3-dimensional $F$-manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional $F$-manifold algebras over the complex field $\mathbb {C}$.
LA - eng
KW - $F$-manifold; Poisson algebra; $F$-manifold algebra
UR - http://eudml.org/doc/298893
ER -

References

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