Orthogonal Determinants of SL3(q) and SU3(q)
Linda Hoyer, Gabriele Nebe
TL;DR
This paper provides a comprehensive list of orthogonal determinants for specific irreducible characters of the groups SL_3(q) and SU_3(q), enhancing understanding of their character theory.
Contribution
It offers the first complete enumeration of orthogonal determinants for these groups' irreducible characters, filling a gap in the representation theory literature.
Findings
Complete list of orthogonal determinants for SL_3(q) characters.
Complete list of orthogonal determinants for SU_3(q) characters.
Clarifies the structure of these determinants for even degree indicator '+' characters.
Abstract
We give a full list of the orthogonal determinants of the even degree indicator '+' ordinary irreducible characters of and .
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Taxonomy
TopicsCrystal structures of chemical compounds · Metal-Organic Frameworks: Synthesis and Applications · Nonlinear Optical Materials Research