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Inner post-Lie algebras and inner post-groups. / Gubarev, Vsevolod; Li, Yue; Sheng, Yunhe и др.

в: Letters in Mathematical Physics, Том 116, № 5, 111, 28.08.2026.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Gubarev, V, Li, Y, Sheng, Y & Wang, Y 2026, 'Inner post-Lie algebras and inner post-groups', Letters in Mathematical Physics, Том. 116, № 5, 111. https://doi.org/10.1007/s11005-026-02141-0

APA

Gubarev, V., Li, Y., Sheng, Y., & Wang, Y. (2026). Inner post-Lie algebras and inner post-groups. Letters in Mathematical Physics, 116(5), [111]. https://doi.org/10.1007/s11005-026-02141-0

Vancouver

Gubarev V, Li Y, Sheng Y, Wang Y. Inner post-Lie algebras and inner post-groups. Letters in Mathematical Physics. 2026 авг. 28;116(5):111. doi: 10.1007/s11005-026-02141-0

Author

Gubarev, Vsevolod ; Li, Yue ; Sheng, Yunhe и др. / Inner post-Lie algebras and inner post-groups. в: Letters in Mathematical Physics. 2026 ; Том 116, № 5.

BibTeX

@article{1d669b0b53054f2389ef285f5898ed36,
title = "Inner post-Lie algebras and inner post-groups",
abstract = "In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota–Baxter operator, and show that an inner post-Lie algebra is induced by a Rota–Baxter operator if and only if the obstruction class is trivial. Similarly, we introduce the notion of the obstruction class for an inner post-group being induced by a Rota–Baxter operator, and prove a parallel result. Finally, we give some applications of inner post-Lie algebras and inner post-groups.",
keywords = "Центральное расширение, Когомология, Пост-алгебры Ли, Пост-группы, Операторы Рота–Бакстера, Central extension, Cohomology, Post-Lie algebras, Post-groups, Rota–Baxter operators",
author = "Vsevolod Gubarev and Yue Li and Yunhe Sheng and You Wang",
note = "Gubarev, V., Li, Y., Sheng, Y. et al. Inner post-Lie algebras and inner post-groups. Lett Math Phys 116, 111 (2026). https://doi.org/10.1007/s11005-026-02141-0 This research is supported by NSF of Jilin Province (20260101013JJ), NSFC (12471060, W2412041). The first author was supported by the Russian Science Foundation (Project 25-41-00005).",
year = "2026",
month = aug,
day = "28",
doi = "10.1007/s11005-026-02141-0",
language = "English",
volume = "116",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Inner post-Lie algebras and inner post-groups

AU - Gubarev, Vsevolod

AU - Li, Yue

AU - Sheng, Yunhe

AU - Wang, You

N1 - Gubarev, V., Li, Y., Sheng, Y. et al. Inner post-Lie algebras and inner post-groups. Lett Math Phys 116, 111 (2026). https://doi.org/10.1007/s11005-026-02141-0 This research is supported by NSF of Jilin Province (20260101013JJ), NSFC (12471060, W2412041). The first author was supported by the Russian Science Foundation (Project 25-41-00005).

PY - 2026/8/28

Y1 - 2026/8/28

N2 - In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota–Baxter operator, and show that an inner post-Lie algebra is induced by a Rota–Baxter operator if and only if the obstruction class is trivial. Similarly, we introduce the notion of the obstruction class for an inner post-group being induced by a Rota–Baxter operator, and prove a parallel result. Finally, we give some applications of inner post-Lie algebras and inner post-groups.

AB - In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota–Baxter operator, and show that an inner post-Lie algebra is induced by a Rota–Baxter operator if and only if the obstruction class is trivial. Similarly, we introduce the notion of the obstruction class for an inner post-group being induced by a Rota–Baxter operator, and prove a parallel result. Finally, we give some applications of inner post-Lie algebras and inner post-groups.

KW - Центральное расширение

KW - Когомология

KW - Пост-алгебры Ли

KW - Пост-группы

KW - Операторы Рота–Бакстера

KW - Central extension

KW - Cohomology

KW - Post-Lie algebras

KW - Post-groups

KW - Rota–Baxter operators

UR - https://www.mendeley.com/catalogue/dc5a145e-e711-355d-af7c-384cd3da54ed/

UR - https://www.scopus.com/pages/publications/105048618194

U2 - 10.1007/s11005-026-02141-0

DO - 10.1007/s11005-026-02141-0

M3 - Article

VL - 116

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 5

M1 - 111

ER -

ID: 82866818