7 citations · 10 across the 15 of their papers we have counts for
15 papers
Analysis on noncompact manifolds and Index Theory: Fredholm conditions and Pseudodifferential operators
Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1
We provide Fredholm conditions for compatible differential operators on certain Lie manifolds (that is, on certain possibly non-compact manifolds with nice ends). We discuss in mor…
Post Lie-Yamaguti algebras, relative Rota-Baxter operators of nonzero weights, and their deformations
Jia Zhao, Senrong Xu, Yu Qiao
In this paper, we introduce the notions of relative Rota-Baxter operators of weight on Lie-Yamaguti algebras, and post-\LYA s, which is an underlying algebraic structure of rel…
Cohomology and deformations of crossed homomorphisms between Lie-Yamaguti algebras
Jia Zhao, Yu Qiao, Senrong Xu
In this paper, we introduce the notion of crossed homomorphisms between Lie-Yamaguti algebras and establish the cohomology theory of crossed homomorphisms via the Yamaguti cohomolo…
Para-Kähler and pseudo-Kähler structures on Lie-Yamaguti algebras
Jia Zhao, Yuqin Feng, Yu Qiao
For a pre-Lie-Yamaguti algebra , by using its sub-adjacent Lie-Yamaguti algebra , we are able to construct a semidirect product Lie-Yamaguti algebra via a representation of…
The classical Lie-Yamaguti Yang-Baxter equation and Lie-Yamaguti bialgebras
Jia Zhao, Yu Qiao
In this paper, we develop the bialgebra theory for Lie-Yamaguti algebras. For this purpose, we exploit two types of compatibility conditions: local cocycle condition and double con…
Locally finite infinity-modules and weak Loday-Pirashvili modules over differential graded Lie algebras
Zhuo Chen, Yu Qiao, Maosong Xiang +1
Motivated by recent developments of -categorical theories related to differential graded (dg for short) Lie algebras, we develop a general framework for locally finite $\in…
Cohomology and relative Rota-Baxter-Nijenhuis structures on LieYRep pairs
Jia Zhao, Yu Qiao
A LieYRep pair consists of a Lie-Yamaguti algebra and its representation. In this paper, we establish the cohomology theory of LieYRep pairs and characterize their linear deformati…
Cohomology and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras
Jia Zhao, Yu Qiao
In this paper, we establish the cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then we use this type of cohomology to characteri…
Renormalized Index Formulas for Elliptic Differential Operators on Boundary Groupoids
Yu Qiao, Bing Kwan So
We consider the index problem of certain boundary groupoids of the form . Since it has been shown that for…
On Lie Bialgebroid Crossed Modules
Honglei Lang, Yu Qiao, Yanbin Yin
We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A one-one correspondence betwee…
Gluing action groupoids: Fredholm conditions and layer potentials
Catarina Carvalho, Rémi Côme, Yu Qiao
This paper is a merge of arXiv:1807.05418 and arXiv:1808.01442. We introduce a new class of groupoids, called "boundary action groupoids", which are obtained by gluing reductions o…
Fredholm Groupoids and Layer Potentials on Conical Domains
Catarina Carvalho, Yu Qiao
We show that layer potential groupoids for conical domains constructed in an earlier paper (Carvalho-Qiao, Central European J. Math., 2013) are Fredholm groupoids, which enables us…
Fredholm conditions on non-compact manifolds: theory and examples
Catarina Carvalho, Victor Nistor, Yu Qiao
We give explicit Fredholm conditions for classes of pseudodifferential operators on suitable singular and non-compact spaces. In particular, we include a "user's guide" to Fredholm…
Uniform shift estimates for transmission problems and optimal rates of convergence for the parametric Finite Element Method
Hengguang Li, Victor Nistor, Yu Qiao
Let $Ω\subset \RR^d$, , be a bounded domain with piecewise smooth boundary and let be an open subset of a Banach space . Motivated by questions i…
Layer potentials C*-algebras of domains with conical points
Catarina Carvalho, Yu Qiao
To a domain with conical points Ω, we associate a natural C*-algebra that is motivated by the study of boundary value problems on Ω, especially using the method of layer potentials…