Twining characters and Kostant's homology formula

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概要

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• Let $\frak{g}$ be a symmetrizable generalized Kac-Moody algebra and $\frak{n}_-$ the sum of all its negative root spaces. We obtain a formula for the twining characters of the Lie algebra homology modules of $\frak{n}_-$ with coefficients in the irreducible highest weight $\frak{g}$-module $L(Λ)$ of symmetric, dominant integral highest weight $Λ$. This formula gives a new (and convincing) proof of the formula for the twining character of $L(Λ)$ above.

• 東北大学の論文

著者

• Naito Satoshi

  Institute Of Mathematics University Of Tsukuba

• Naito Satoshi

  Institute Ofmathematics University Oftsukuba

関連論文

• Twining characters and Kostant's homology formula
• Twining Character Formula of Borel-Weil-Bott Type

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