scholarly journals Rank and duality in representation theory

2020 ◽  
Vol 15 (2) ◽  
pp. 223-309
Author(s):  
Shamgar Gurevich ◽  
Roger Howe
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.


Author(s):  
YANJUN LIU ◽  
WOLFGANG WILLEMS

Abstract Similarly to the Frobenius–Schur indicator of irreducible characters, we consider higher Frobenius–Schur indicators $\nu _{p^n}(\chi ) = |G|^{-1} \sum _{g \in G} \chi (g^{p^n})$ for primes p and $n \in \mathbb {N}$ , where G is a finite group and $\chi $ is a generalised character of G. These invariants give answers to interesting questions in representation theory. In particular, we give several characterisations of groups via higher Frobenius–Schur indicators.


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