scholarly journals Square integrable harmonic forms and representation theory

1998 ◽  
Vol 92 (3) ◽  
pp. 645-664 ◽  
Author(s):  
L. Barchini ◽  
R. Zierau
1993 ◽  
Vol 36 (3) ◽  
pp. 257-262 ◽  
Author(s):  
Pierre-Yves Gaillard

AbstractThe purpose for this short note is to describe the space of harmonic spinors on hyperbolicn-spaceHn. This is a natural continuation of the study of harmonic functions onHnin [Minemura] and [Helgason]—these results were generalized in the form of Helgason's conjecture, proved in [KKMOOT],—and of [Gaillard 1, 2], where harmonic forms onHnwere considered. The connection between invariant differential equations on a Riemannian semisimple symmetric spaceG/Kand homological aspects of the representation theory ofG, as exemplified in (8) below, does not seem to have been previously mentioned. This note is divided into three main parts respectively dedicated to the statement of the results, some reminders, and the proofs. I thank the referee for having suggested various improvements.


2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli

2020 ◽  
Author(s):  
Amanda Bolton

Let $\rho$ be an ultra-unique, reducible topos equipped with a minimal homeomorphism. We wish to extend the results of \cite{cite:0} to trivially Cartan classes. We show that $d$ is comparable to $\mathcal{{M}}$. This leaves open the question of uniqueness. Moreover, a central problem in numerical representation theory is the description of irreducible, orthogonal, hyper-unique graphs.


GEOgraphia ◽  
2009 ◽  
Vol 1 (1) ◽  
pp. 41
Author(s):  
Ruy Moreira

Resumo A centração no discurso da identidade fez da geografia um dos campos de saber que mais concorreu para a dissolução da diferença, e, assim, ao bloqueio à constituição de uma teoria da representação que combinasse dialética e ontologia do espaço, tal como parece agora emergir com a liberação ontológico-ôntica da diferença. Palavras-chave: diferença, identidade, dialética.Abstract Resting its axis on the identity discourse has made geography one of the knowledge fields which most contributed to the dissolution of difference and, hence, to obstruct a representation theory constitution, which would combine dialectics and space ontology, as it looks to emerge now with the difference ontological-ontic liberation. Keywords: difference, identity, dialetics.


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