Timeline for Tensorial Construction vs Weyl Construction of Finite Dimensional Representations of GL(n, $\mathbb{C}$)?
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Jun 25, 2017 at 17:15 | comment | added | DarKnightS | Both results are correct. When Fulton and Harris classify $\text{SL}_n(\mathbb{C})$, they treat $\text{SL}_n(\mathbb{C})$ as a complex Lie group and representations have to be holomorphic, so complex conjugate representations are not allowed. In Tung's, however, he treats $\text{SL}_n(\mathbb{C})$ as a real Lie group, so representations of $\text{SL}_n(\mathbb{C})$ just need to be smooth and complex conjugate representations are permissible. | |
| Jun 20, 2017 at 6:51 | history | edited | DarKnightS | CC BY-SA 3.0 |
added 109 characters in body
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| Jun 20, 2017 at 6:36 | history | asked | DarKnightS | CC BY-SA 3.0 |