Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Yanyong Hong"'
Autor:
Yang Pan, Yanyong Hong
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 2084-2101 (2022)
Let $ G $ be a connected standard simple algebraic group of type $ C $ or $ D $ over an algebraically closed field $ \Bbbk $ of positive characteristic $ p > 0 $, and $ \mathfrak{g}: = \mathrm{Lie}(G) $ be the Lie algebra of $ G $. Motivated by the v
Externí odkaz:
https://doaj.org/article/be543f3dbf7644d585f170aa8cbf5771
Autor:
Naping Bao, Yanyong Hong
Publikováno v:
Mathematics, Vol 10, Iss 17, p 3158 (2022)
A Novikov–Poisson algebra (A,∘,·) is a vector space with a Novikov algebra structure (A,∘) and a commutative associative algebra structure (A,·) satisfying some compatibility conditions. Give a Novikov–Poisson algebra (A,∘,·) and a vecto
Externí odkaz:
https://doaj.org/article/b53585f25b424333a143e1b19f7587eb
Publikováno v:
Linear and Multilinear Algebra. :1-24
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96765c45d8c924ed4980c02ac7ce0bae
https://doi.org/10.1080/03081087.2023.2176419
https://doi.org/10.1080/03081087.2023.2176419
Autor:
Henan Wu, Yanyong Hong
Publikováno v:
Communications in Algebra. 50:2954-2972
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1ce2b39466c956a00b812338c7d72de
https://doi.org/10.1080/00927872.2021.2023169
https://doi.org/10.1080/00927872.2021.2023169
Balinsky and Novikov showed that the affinization of a Novikov algebra naturally defines a Lie algebra, a property that in fact characterizes the Novikov algebra. It is also an instance of the operadic Koszul duality. In this paper, we develop a bial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7019894b307db290fd49f542adb88df1
Autor:
Maosen Xu, Yanyong Hong
Publikováno v:
Journal of Pure and Applied Algebra. 227:107351
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::084acc6950d956c3979adc6fc5bde010
https://doi.org/10.1016/j.jpaa.2023.107351
https://doi.org/10.1016/j.jpaa.2023.107351
Publikováno v:
Linear and Multilinear Algebra. 70:4778-4791
Let H be the twisted Heisenberg–Virasoro algebra. In this paper, we first present a method to produce a class of tensor product H-modules, by which we can obtain the known weight H-modules M(V,Aα,b...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac2e53c00bcbcc8932eb22649ec7563f
https://doi.org/10.1080/03081087.2021.1895704
https://doi.org/10.1080/03081087.2021.1895704
Publikováno v:
Communications in Algebra. 48:4774-4795
Lie conformal algebras W(a,b) are the semi-direct sums of Virasoro Lie conformal algebra and its nontrivial conformal modules of rank one. In this article, we give a complete classification of exte...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a86ea41a11123606377808acf6ead86
https://doi.org/10.1080/00927872.2020.1770779
https://doi.org/10.1080/00927872.2020.1770779
Autor:
Yanyong Hong, Chengming Bai
Publikováno v:
Letters in Mathematical Physics. 110:885-909
Conformal classical Yang-Baxter equation and $S$-equation naturally appear in the study of Lie conformal bialgebras and left-symmetric conformal bialgebras. In this paper, they are interpreted in terms of a kind of operators, namely, $\mathcal O$-ope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5b1d8658d2f7d851db6c29a75db39c2
https://doi.org/10.1007/s11005-019-01243-2
https://doi.org/10.1007/s11005-019-01243-2
In the present paper, we prove that any finite non-trivial irreducible module over a rank two Lie conformal algebra $\mathcal{H}$ is of rank one. We also describe the actions of $\mathcal{H}$ on its finite irreducible modules explicitly. Moreover, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85b54e76c172ccb00952ff650165d990
http://arxiv.org/abs/2105.13651
http://arxiv.org/abs/2105.13651