We present LieART 2.0 which contains substantial extensions to the Mathematica application LieART (Lie Algebras and Representation Theory) for computations frequently encountered in Lie algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations. The basic procedure is unchanged—it computes root systems of Lie algebras, weight systems and several other properties of irreducible representations, but new features and procedures have been included to allow the extensions to be seamless. The new version of LieART continues to be user friendly. New extended tables of properties, tensor products and branching rules of irreducible representations are included in the appendix for use without Mathematica software. LieART 2.0 now includes the branching rules to special subalgebras for all classical and exceptional Lie algebras up to and including rank 15.

中文翻译：

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LieART 2.0 – 李代数和表示理论的 Mathematica 应用程序

我们展示了 LieART 2.0，它包含对 Mathematica 应用程序 LieART（李代数和表示理论）的实质性扩展，用于李代数和表示理论中经常遇到的计算，例如张量积分解和不可约表示的子代数分支。基本过程没有改变——它计算李代数的根系统、权重系统和不可约表示的其他几个属性，但已经包含了新的特征和过程以允许扩展是无缝的。LieART 的新版本继续对用户友好。附录中包含了新的扩展属性表、张量积和不可约表示的分支规则，以便在没有 Mathematica 软件的情况下使用。谎言艺术 2.