An Exceptional Representation of Sp(4,F_q)
Tanmay Deshpande
TL;DR
This paper presents a construction of a unique, cuspidal, degenerate, and unipotent exceptional representation of the symplectic group Sp(4,F_q), highlighting its special algebraic properties.
Contribution
It provides a folklore construction of an exceptional representation of Sp(4,F_q) with specific properties, which was previously not explicitly detailed.
Findings
The representation is cuspidal, degenerate, and unipotent.
The construction is based on a folklore method.
The representation exhibits a remarkable combination of properties.
Abstract
We describe a folklore construction of an exceptional representation of Sp(4,F_q). This representation has the following remarkable combination of properties, namely it is cuspidal, degenerate and unipotent.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Coding theory and cryptography · Finite Group Theory Research