34 citations · 260 across the 72 of their papers we have counts for
13 papers · 1 filter
Upper bounds of homological invariants of -modules
Liping Li
In this paper we use a homological approach to obtain upper bounds for a few homological invariants of -modules . These upper bounds are expressed in terms of the generati…
Filtrations and Homological degrees of FI-modules
Liping Li, Nina Yu
Let be a commutative Noetherian ring. In this paper we consider filtered modules of the category FI firstly introduced by Nagpal. We show that a finitely generated FI-module $V…
Weak convergence of regular Dirichlet subspaces
Liping Li, Toshihiro Uemura, Jiangang Ying
In this paper we shall prove the weak convergence of the associated diffusion processes of regular subspaces with monotone characteristic sets for a fixed Dirichlet form. More prec…
Homological degrees of representations of categories with shift functors
Liping Li
Let be a commutative Noetherian ring and be a locally finite -linear category equipped with a self-embedding functor of degree 1. We show under a m…
Killing transform on regular Dirichlet subspaces
Liping Li, Jiangang Ying
In this paper, we shall consider the killing transform induced by a multiplicative functional on regular Dirichlet subspaces of a fixed Dirichlet form. Roughly speaking, a regular…
The -orthogonal complements of regular subspaces of 1-dim Brownian motion
Liping Li, Xiucui Song
Roughly speaking, a regular subspace of a Dirichlet form is a subspace, which is also a regular Dirichlet form, on the same state space. In particular, the domain of regular subspa…
Regular Dirichlet subspaces and Mosco convergence
Liping Li, Xiucui Song
In this paper, we shall explore the Mosco convergence on regular subspaces of one-dimensional irreducible and strongly local Dirichlet forms. We find that if the characteristic set…
A remark on FI-module homology
Wee Liang Gan, Liping Li
We show that the FI-homology of an FI-module can be computed via a Koszul complex. As an application, we prove that the Castelnuovo-Mumford regularity of a finitely generated torsi…
Regular subspaces of Dirichlet forms
Liping Li, Jiangang Ying
The regular subspaces of a Dirichlet form are the regular Dirichlet forms that inherit the original form but possess smaller domains. The two problems we are concerned are: (1) the…
Bivariate Revuz measures and the Feynman-Kac formula on semi-Dirichlet forms
Liping Li, Jiangang Ying
In this paper, we shall first establish the theory of bivariate Revuz correspondence of positive additive functionals under a semi-Dirichlet form, which is associated with a right…
On central stability
Wee Liang Gan, Liping Li
The notion of central stability was first formulated for sequences of representations of the symmetric groups by Putman. A categorical reformulation was subsequently given by Churc…
Regular subspaces of skew product diffusions
Liping Li, Jiangang Ying
Roughly speaking, the regular subspace of a Dirichlet form is also a regular Dirichlet form on the same state space. It inherits the same form of original Dirichlet form but posses…
Coinduction functor in representation stability theory
Wee Liang Gan, Liping Li
We study the coinduction functor on the category of FI-modules and its variants. Using the coinduction functor, we give new and simpler proofs of (generalizations of) various resul…