most citedHomological Finiteness of Representations of Almost Linear Nash Groups

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math.RT2020★ 2 cited

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…

math.RT2019★ 1 cited

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…

math.RT2019

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…