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Dyke Acland
Dyke Acland
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Does there exist an $A$ such thatand $\mathfrak{su}(32) \simeq A \otimes \mathfrak\subset B$ such that $\mathfrak{su}(23)$ \simeq A \otimes B$

I'm in the middle of trying to prove something at the moment and am looking for a decomposition of the Lie algebra $\mathfrak{su}(3)$ asinto a tensor product of $\mathfrak{su}(2)$ and something else, ie, ansome algebra $A$ such that $$ \mathfrak{su}(3) \simeq A \otimes \mathfrak{su}(2), $$ or, and another $B$ containing $\mathfrak{su}(2)$, or some such result. Does anyone know of anything?

Does there exist an $A$ such that $\mathfrak{su}(3) \simeq A \otimes \mathfrak{su}(2)$

I'm in the middle of trying to prove something at the moment and am looking for a decomposition of the Lie algebra $\mathfrak{su}(3)$ as a tensor product of $\mathfrak{su}(2)$ and something else, ie, an algebra $A$ such that $$ \mathfrak{su}(3) \simeq A \otimes \mathfrak{su}(2), $$ or some such result. Does anyone know of anything?

Does there exist an $A$ and $\mathfrak{su}(2) \subset B$ such that $\mathfrak{su}(3) \simeq A \otimes B$

I'm in the middle of trying to prove something at the moment and am looking for a decomposition of the Lie algebra $\mathfrak{su}(3)$ into a tensor product of some algebra $A$, and another $B$ containing $\mathfrak{su}(2)$, or some such result. Does anyone know of anything?

Source Link
Dyke Acland
Dyke Acland
  • 1.5k
  • 13
  • 23

Does there exist an $A$ such that $\mathfrak{su}(3) \simeq A \otimes \mathfrak{su}(2)$

I'm in the middle of trying to prove something at the moment and am looking for a decomposition of the Lie algebra $\mathfrak{su}(3)$ as a tensor product of $\mathfrak{su}(2)$ and something else, ie, an algebra $A$ such that $$ \mathfrak{su}(3) \simeq A \otimes \mathfrak{su}(2), $$ or some such result. Does anyone know of anything?