A new approach to antisymmetric infinitesimal bialgebras

Tianshui Ma; Bei Li; Jie Li; Miaoshuang Chen

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 3, page 755-764
  • ISSN: 0011-4642

Abstract

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We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Baxter pair can produce a special Rota-Baxter system.

How to cite

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Ma, Tianshui, et al. "A new approach to antisymmetric infinitesimal bialgebras." Czechoslovak Mathematical Journal 73.3 (2023): 755-764. <http://eudml.org/doc/299109>.

@article{Ma2023,
abstract = {We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Baxter pair can produce a special Rota-Baxter system.},
author = {Ma, Tianshui, Li, Bei, Li, Jie, Chen, Miaoshuang},
journal = {Czechoslovak Mathematical Journal},
keywords = {infinitesimal bialgebra; quasitriangular infinitesimal bialgebra},
language = {eng},
number = {3},
pages = {755-764},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new approach to antisymmetric infinitesimal bialgebras},
url = {http://eudml.org/doc/299109},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Ma, Tianshui
AU - Li, Bei
AU - Li, Jie
AU - Chen, Miaoshuang
TI - A new approach to antisymmetric infinitesimal bialgebras
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 3
SP - 755
EP - 764
AB - We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Baxter pair can produce a special Rota-Baxter system.
LA - eng
KW - infinitesimal bialgebra; quasitriangular infinitesimal bialgebra
UR - http://eudml.org/doc/299109
ER -

References

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