"Parthasarathy-Ranga Rao-Varadarajan conjecture"의 두 판 사이의 차이
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imported>Pythagoras0 (새 문서: ==introduction== * PRV conjecture * notations ** $\nu$ integral weight ** $\overline{\nu}$ the dominant integral weight of $W\cdot \nu$ ** $V(\overline{\nu})$ highest weight represen...) |
imported>Pythagoras0 |
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** $V(\overline{\nu})$ highest weight representation | ** $V(\overline{\nu})$ highest weight representation | ||
* $\lambda,\mu$ dominant integral weights and $w\in W$, the module $V(\overline{\lambda+w\mu})$ occurs with multiplicity at least one in $V(\lambda)\otimes V(\mu)$ | * $\lambda,\mu$ dominant integral weights and $w\in W$, the module $V(\overline{\lambda+w\mu})$ occurs with multiplicity at least one in $V(\lambda)\otimes V(\mu)$ | ||
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| + | ==expositions== | ||
| + | * Khare, Apoorva. 2012. “Representations of Complex Semi-simple Lie Groups and Lie Algebras.” arXiv:1208.0416 (August 2). http://arxiv.org/abs/1208.0416. | ||
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==articles== | ==articles== | ||
* Kumar, Shrawan. 1988. “Proof of the Parthasarathy-Ranga Rao-Varadarajan Conjecture.” Inventiones Mathematicae 93 (1): 117–130. doi:10.1007/BF01393689. http://link.springer.com/article/10.1007%2FBF01393689 | * Kumar, Shrawan. 1988. “Proof of the Parthasarathy-Ranga Rao-Varadarajan Conjecture.” Inventiones Mathematicae 93 (1): 117–130. doi:10.1007/BF01393689. http://link.springer.com/article/10.1007%2FBF01393689 | ||
2013년 4월 10일 (수) 06:48 판
introduction
- PRV conjecture
- notations
- $\nu$ integral weight
- $\overline{\nu}$ the dominant integral weight of $W\cdot \nu$
- $V(\overline{\nu})$ highest weight representation
- $\lambda,\mu$ dominant integral weights and $w\in W$, the module $V(\overline{\lambda+w\mu})$ occurs with multiplicity at least one in $V(\lambda)\otimes V(\mu)$
expositions
- Khare, Apoorva. 2012. “Representations of Complex Semi-simple Lie Groups and Lie Algebras.” arXiv:1208.0416 (August 2). http://arxiv.org/abs/1208.0416.
articles
- Kumar, Shrawan. 1988. “Proof of the Parthasarathy-Ranga Rao-Varadarajan Conjecture.” Inventiones Mathematicae 93 (1): 117–130. doi:10.1007/BF01393689. http://link.springer.com/article/10.1007%2FBF01393689