182 citations · 433 across the 14 of their papers we have counts for
7 papers · 1 filter
Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications
Matilde Marcolli, Xiang Ni
We consider Rota-Baxter algebras of meromorphic forms with poles along a (singular) hypersurface in a smooth projective variety and the associated Birkhoff factorization for algebr…
Generalizations of the classical Yang-Baxter equation and O-operators
Chengming Bai, Xiang Ni, Li Guo
Tensor solutions (-matrices) of the classical Yang-Baxter equation (CYBE) in a Lie algebra, obtained as the classical limit of the -matrix solution of the quantum Yang-Baxter…
L-quadri-algebras
Ligong Liu, Xiang Ni, Chengming Bai
Quadri-algebras introduced by Aguiar and Loday are a class of remarkable Loday algebras. In this paper, we introduce a notion of L-quadri-algebra with 4 operations satisfying certa…
Some results on L-dendriform algebras
Chengming Bai, Ligong Liu, Xiang Ni
We introduce a notion of L-dendriform algebra due to several different motivations. L-dendriform algebras are regarded as the underlying algebraic structures of pseudo-Hessian stru…
Special symplectic Lie groups and hypersymplectic Lie groups
Xiang Ni, Chengming Bai
A special symplectic Lie group is a triple such that is a finite-dimensional real Lie group and is a left invariant symplectic form on which is parallel…
Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
Xiang Ni, Chengming Bai, Li Guo
We generalize the classical study of (generalized) Lax pairs and the related -operators and the (modified) classical Yang-Baxter equation by introducing the concepts of nonabeli…
Pre-alternative algebras and pre-alternative bialgebras
Xiang Ni, Chengming Bai
We introduce a notion of pre-alternative algebra which may be seen as an alternative algebra whose product can be decomposed into two pieces which are compatible in a certain way.…