Decomposition of the Symmetric Powers

Bin Li

Decomposition of the Symmetric Powers

Rings and Algebras 2012-02-23 v1

Authors: Bin Li

Abstract

A decomposition of any symmetric power of $\Bbb C^2\otimes\Bbb C^2\otimes\Bbb C^2$ into irreducible $sl_2(\Bbb C)\oplus sl_2(\Bbb C)\oplus sl_2(\Bbb C)$ -submodules are presented. Namely, the multiplicities of irreducible summands in the symmetric power are determined.

Keywords

symmetric powers tensor products irreducible submodules sl_2(C) decomposition multiplicities representation theory

Cite

@article{arxiv.1202.4814,
  title  = {Decomposition of the Symmetric Powers},
  author = {Bin Li},
  journal= {arXiv preprint arXiv:1202.4814},
  year   = {2012}
}

Comments

13 pages

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