The degree of a representation is also known as the dimension. The level of the congruent representation determined by the pair \((S,T)\) is equal to the order of \(T\).
We assign to each representation a name according to the conventions of [NW76].
‣ SL2IrrepsOfDegree( degree ) | ( function ) |
Returns: a list of records of the form rec(S, T, degree, level, name).
Constructs a list of all irreps of \(\mathrm{SL}_2(\mathbb{Z})\) that have the given degree.
‣ SL2IrrepsOfMaxDegree( maximum_degree ) | ( function ) |
Returns: a list of records of the form rec(S, T, degree, level, name).
Constructs a list of all irreps of \(\mathrm{SL}_2(\mathbb{Z})\) that have at most the given maximum degree.
‣ SL2IrrepsOfLevel( level ) | ( function ) |
Returns: a list of records of the form rec(S, T, degree, level, name).
Constructs a list of all irreps of \(\mathrm{SL}_2(\mathbb{Z})\) with the given level.
‣ SL2IrrepsExceptional( arg ) | ( function ) |
Returns: a list of records of the form rec(S, T, degree, level, name).
Constructs a list of the 18 exceptional irreps of \(\mathrm{SL}_2(\mathbb{Z})\).
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