MinimalFaithfulRepresentationDimension on CartanType
The smallest dimension of a faithful representation of the Lie algebra.
Called as CombinatorialStat(x, "MinimalFaithfulRepresentationDimension"). The head's page has its examples.
Live
Distribution
Over FiniteCartanTypes at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St001150
The minimal dimension of a faithful linear representation of the Lie algebra of given type.
| Object | Value |
|---|---|
['A',1] | 2 |
['A',2] | 3 |
['A',3] | 4 |
['A',4] | 5 |
['A',5] | 6 |
['A',6] | 7 |
['A',7] | 8 |
['A',8] | 9 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001150 has the rest.