2 citations · 3 across the 6 of their papers we have counts for
6 papers
On the quaternionic Serre weights
Yang Chen, Haoran Wang
We determine the set of quaternionic Serre weights for generic two-dimensional mod representation of , where is a finite unr…
Classification of Connected Commutative Locally Nash Groups
YiXin Bao, YangYang Chen, WeiKai Hu
In this article, we classify connected commutative (locally) Nash groups, which is a continuation of our previous work on the classification of abelian Nash manifolds. Our results…
Homological Finiteness of Representations of Almost Linear Nash Groups
YiXin Bao, Yangyang Chen
Let be an almost linear Nash group, namely, a Nash group that admits a Nash homomorphism with finite kernel to some $\GL_k(\mathbb R)$. A smooth \Fre representation with mo…
Classification of abelian Nash manifolds
Yixin Bao, Yangyang Chen
By the algebraization of affine Nash groups, a connected affine Nash group is an abelian Nash manifold if and only if its algebraization is a real abelian variety. We first classif…
Schwartz homologies of representations of almost linear Nash groups
Yangyang Chen, Binyong Sun
Let be an almost linear Nash group, namely, a Nash group which admits a Nash homomorphism with finite kernel to some $\GL_k(\mathbb R)$. A homology theory (the Schwartz homolog…
Positivity of principal matrix coefficients of principal series representations of
Yangyang Chen
Let , with the usual Cartan decomposition and the usual Iwasawa decomposition . We determine the image of under the projection of t…