8 citations · 21 across the 9 of their papers we have counts for
10 papers
Cohomology of in prime characteristic
Shujuan Wang, Yang Liu, Wende Liu
Over an algebraically closed field of characteristic , the 0-dimensional and 1-dimensional cohomology of the queer Lie superalgebra with coefficients in all baby…
Cyclic Structure behind Modular Gaussian Curvature
Yang Liu
We propose a systematic scheme for computing the variation of rearrangement operators arising in the recently developed spectral geometry on noncommutative tori and -deformed Ri…
Hopf algebroids from noncommutative bundles
Xiao Han, Giovanni Landi, Yang Liu
We present two classes of examples of Hopf algebroids associated with noncommutative principal bundles. The first comes from deforming the principal bundle while leaving unchanged…
Two results on character codegrees
Yang Liu, Yong Yang
Let be a finite group and be the set of irreducible characters of . The codegree of an irreducible character of the group is defined as $\mathrm{co…
General Rearrangement Lemma for Heat Trace Asymptotic on Noncommutative Tori
Yang Liu
We study a technical problem arising from the spectral geometry of noncommutative tori: the small time heat trace asymptotic associated to a general second order elliptic operator.…
The multiplier and cohomology of Lie superalgebras
Yang Liu, Wende Liu
In this paper, all (super)algebras are over a field of characteristic different from . We construct the so-called 5-sequences of cohomology for central extension…
Hypergeometric function and Modular Curvature I. --Hypergeometric functions in Heat Coefficients
Yang Liu
We give a new proof of the rearrangement lemma that works for all dimensions and all heat coefficients in the study of modular geometry on noncommutative tori. The building blocks…
Hypergeometric function and modular curvature
Yang Liu
We first show that hypergeometric functions appear naturally as spectral functions when applying pseudo-differential calculus to decipher heat kernel asymptotic in the situation wh…
Modular curvature for toric noncommutative manifolds
Yang Liu
A general question behind this paper is to explore a good notion for intrinsic curvature in the framework of noncommutative geometry started by Alain Connes in the 80s. It has only…
On the Range of Cosine Transform of Distributions for Torus-Invariant Complex Minkowski Spaces
Yang Liu
In this paper, we study the range of (absolute value) cosine transforms for which we give a proof for an extended surjectivity theorem by making applications of the Fredholm's theo…