Linear representation theory of unitriangular matrix group:UT(3,Z4)

This article gives specific information, namely, linear representation theory, about a particular group, namely: unitriangular matrix group:UT(3,Z4).
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Summary

Item	Value
Degrees of irreducible representations over a splitting field (such as $\mathbb {C}$ or ${\overline {\mathbb {Q} }}$)	1 (16 times), 2 (4 times), 4 (2 times) maximum: 4, lcm: 4, number: 22, sum of squares: 64

Family contexts

Family name	Parameter values for member	General discussion of linear representation theory of family
unitriangular matrix group of degree three $UT(3,R)$	ring:Z4, i.e., $R=\mathbb {Z} _{4}=\mathbb {Z} /4\mathbb {Z}$ This is a discrete valuation ring of length $l=2$ over a resudie field of size $q=2$.	specific: linear representation theory of unitriangular matrix group:UT(3,Zp^2) more general: linear representation theory of unitriangular matrix group of degree three over a finite discrete valuation ring