TL;DR
This paper investigates specific representations called LFMO-special representations, analyzing their classification and the conditions under which they cause failures of multiplicity one in functorial contexts.
Contribution
It provides a classification of LFMO-special representations and explores their impact on multiplicity one failures in functoriality.
Findings
Identifies and classifies LFMO-special representations.
Shows conditions leading to failure of multiplicity one.
Provides insights into functoriality and representation theory.
Abstract
In this note we discuss and classify LFMO-spcial representations, for which under certain functoriality, it gives the instance of failure of multiplicity one.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Finite Group Theory Research