Subregular characters of the group UT(n,R)
A.N.Panov, E.V.Surai
TL;DR
This paper derives formulas for subregular characters of the unitriangular Lie group and describes their supports using the orbit method, advancing understanding of the group's representation theory.
Contribution
It provides explicit formulas for subregular characters and characterizes their supports via the orbit method, a novel contribution to the representation theory of UT(n,R).
Findings
Formulas for subregular characters are obtained.
Supports of regular and subregular characters are described.
The orbit method is used to characterize supports.
Abstract
The formulas for subregular characters of the unitriangular Lie group are obtained. The supports of regular and subregular characters are described in terms of the orbit method.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Analytic Number Theory Research · Geometric and Algebraic Topology