Timeline for Decompose tensor product of type $G_2$ Lie algebras.
Current License: CC BY-SA 3.0
3 events
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| Jan 13, 2012 at 22:45 | comment | added | Vít Tuček | My reasoning is that Littlewood-Richardson rule can be viewed as a statement about decompositions of Schur functions. These are related to representations of $\mathfrak{sl}$ via Schur-Weyl duality. Since the article by Huang proves this kind of duality for $G_2$ I expect that some kind of LW rule can be inferred from this. I suggest you look first at the case of $\mathfrak{so}$, where the contractions are surely more familiar operations. I think that quite a good reference is the book by Goodman and Wallach. | |
| Jan 13, 2012 at 20:11 | comment | added | Jianrong Li | @r0b0t, it seems that this paper is only for the decomposition of $V(\omega_1)^{\otimes n}$ | |
| Jan 13, 2012 at 19:22 | history | answered | Vít Tuček | CC BY-SA 3.0 |