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Is there a way in Mathematica to check the data of representation of Lie groups? For example,

  • the number of generators.

  • the rank (or the dimension) of the representation matrices.

  • and a list of all irreducible representations.

For example, for

the data of representation of Spin(5)?

or

the data of representation of Spin($n$) in general?


My attempt: One possibility is to use the LieART -- A Mathematica Application for Lie Algebras and Representation Theory

https://arxiv.org/abs/1206.6379

Are there some other useful commands in Mathematica?

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  • $\begingroup$ 1) To be clear, you want an answer not relying on LieART? 2) What do you mean by "a list of all irreducible representations"? such a list is not finite, so what output do you expect from MMA? $\endgroup$ – AccidentalFourierTransform Aug 19 '18 at 14:07

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