Schwartz homologies of representations of almost linear Nash groups

• Published in: Journal of functional analysis Vol. 280; no. 7; p. 108817
• Main Authors: Chen, Yangyang, Sun, Binyong
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2021
• Subjects: Lie algebra homology; Schwartz homology; Schwartz induction; Tempered vector bundle; Tempered vector bundle; 46T30; 22E20; Schwartz induction; Schwartz homology; Lie algebra homology

Let G be an almost linear Nash group, namely, a Nash group that admits a Nash homomorphism with finite kernel to some GLk(R). A homology theory (the Schwartz homology) is established for the category of smooth Fréchet representations of G of moderate growth. Frobenius reciprocity and Shapiro's...