Research output: Contribution to journal › Article › peer-review
An example of a simple double Lie algebras. / Gubarev, V.
In: Siberian Electronic Mathematical Reports, Vol. 18, No. 2, 3, 2021, p. 834-844.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - An example of a simple double Lie algebras
AU - Gubarev, V.
N1 - Funding Information: The author thanks Korea Institute for Advanced Study (KIAS) for the warm hospitality during August 2019, where a part of the work was done. The author thanks the anonymous reviewer for the valuable remarks. The author is supported by the grant of the President of the Russian Federation for young scientists (MK-1241.2021.1.1). Funding Information: Gubarev, V., An example of a simple double Lie algebra. © 2021 Gubarev V. The work is supported by the grant of the President of the Russian Federation for young scientists (MK-1241.2021.1.1). Received April, 8, 2021, published July, 30, 2021. Publisher Copyright: © 2021 Gubarev V. All Rights Reserved.
PY - 2021
Y1 - 2021
N2 - We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra to the infinite-dimensional case. We give the first example of a simple double Lie algebra.
AB - We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra to the infinite-dimensional case. We give the first example of a simple double Lie algebra.
KW - double Lie algebra
KW - Rota—Baxter operator
UR - http://www.scopus.com/inward/record.url?scp=85115386558&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/019ca924-8b88-37fa-80ff-7b1cac1c8418/
U2 - 10.33048/semi.2021.18.062
DO - 10.33048/semi.2021.18.062
M3 - Article
AN - SCOPUS:85115386558
VL - 18
SP - 834
EP - 844
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
IS - 2
M1 - 3
ER -
ID: 34342445