Zobrazeno 1 - 10
of 316
pro vyhledávání: '"BAI, CHENGMING"'
It is known that the operads of perm algebras and pre-Lie algebras are the Koszul dual each other and hence there is a Lie algebra structure on the tensor product of a perm algebra and a pre-Lie algebra. Conversely, we construct a special perm algebr
Externí odkaz:
http://arxiv.org/abs/2409.13230
Autor:
Hong, Yanyong, Bai, Chengming
We develop a conformal analog of the theory of Poisson bialgebras as well as a bialgebra theory of Poisson conformal algebras. We introduce the notion of Poisson conformal bialgebras, which are characterized by Manin triples of Poisson conformal alge
Externí odkaz:
http://arxiv.org/abs/2409.01619
A fundamental construction of Poisson algebras is as the quasiclassical limits (QCLs) of associative algebra deformations of commutative associative algebras. This paper extends this construction to the relative context with the notion of (bi)module
Externí odkaz:
http://arxiv.org/abs/2404.11232
Generalizing S. Gelfand's classical construction of a Novikov algebra from a commutative differential algebra, a deformation family $(A,\circ_q)$, for scalars $q$, of Novikov algebras is constructed from what we call an admissible commutative differe
Externí odkaz:
http://arxiv.org/abs/2402.16155
Gel'fand-Dorfman algebras (GD algebras) give a natural construction of Lie conformal algebras and are in turn characterized by this construction. In this paper, we define the Gel'fand-Dorfman bialgebra (GD bialgebras) and enrich the above constructio
Externí odkaz:
http://arxiv.org/abs/2401.13608
Autor:
Liu, Guilai, Bai, Chengming
There are two kinds of splittings of operations, namely, the classical splitting which is interpreted operadically as taking successors and another splitting which we call the second splitting giving the anti-structures of the successors' algebras. T
Externí odkaz:
http://arxiv.org/abs/2310.08299
Autor:
Liu, Guilai, Bai, Chengming
The approach for Poisson bialgebras characterized by Manin triples with respect to the invariant bilinear forms on both the commutative associative algebras and the Lie algebras is not available for giving a bialgebra theory for transposed Poisson al
Externí odkaz:
http://arxiv.org/abs/2309.16174
This paper studies super $r$-matrices and operator forms of the super classical Yang-Baxter equation. First by a unified treatment, the classical correspondence between $r$-matrices and $\mathcal{O}$-operators is generalized to a correspondence betwe
Externí odkaz:
http://arxiv.org/abs/2309.04808
Derivations play a fundamental role in the definition of vertex (operator) algebras, sometimes regarded as a generalization of differential commutative algebras. This paper studies the role played by the integral counterpart of the derivations, namel
Externí odkaz:
http://arxiv.org/abs/2307.09826
In this paper we introduce an analog of the (classical) Yang-Baxter equation (CYBE) for vertex operator algebras (VOAs) in its tensor form, called the vertex operator Yang-Baxter equation (VOYBE). When specialized to level one of a vertex operator al
Externí odkaz:
http://arxiv.org/abs/2307.01977