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In mathematics, the Macdonald identities are some infinite product identities associated to affine root systems, introduced by Ian Macdonald. They include as special cases the Jacobi triple product identity, Watson's quintuple product identity, several identities found by , and a 10-fold product identity found by . and pointed out that the Macdonald identities are the analogs of the Weyl denominator formula for affine Kac–Moody algebras and superalgebras.

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  • マクドナルド恒等式 (ja)
  • Macdonald identities (en)
  • Macdonalds identiteter (sv)
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  • In mathematics, the Macdonald identities are some infinite product identities associated to affine root systems, introduced by Ian Macdonald. They include as special cases the Jacobi triple product identity, Watson's quintuple product identity, several identities found by , and a 10-fold product identity found by . and pointed out that the Macdonald identities are the analogs of the Weyl denominator formula for affine Kac–Moody algebras and superalgebras. (en)
  • 数学において，マクドナルド恒等式（英: Macdonald identities）は，アフィンルート系に付随したある無限積の等式であり， によって導入された．特別な場合としてヤコビの三重積等式やワトソンの五重積等式， によって発見されたいくつかの等式や によって発見された10重積等式を含んでいる． と はマクドナルド恒等式がアフィンカッツ・ムーディ代数や超代数のワイルの分母公式の類似物であることを指摘した． (ja)
  • Inom matematiken är Macdonalds identiteter några identiteter bland oändliga produkter associerade till introducerade av. De har som specialfall Jacobis trippelprodukt, Watsons kvintupelproduktidentitet, flera identiteter upptäckta av ) och en produktidentitet uppräckt av ). ) och ) påpekade att Macdonalds identiteter är analogier av för och superalgebror. (sv)
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  • Ian G. Macdonald (en)
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  • Ian (en)
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  • Macdonald (en)
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  • In mathematics, the Macdonald identities are some infinite product identities associated to affine root systems, introduced by Ian Macdonald. They include as special cases the Jacobi triple product identity, Watson's quintuple product identity, several identities found by , and a 10-fold product identity found by . and pointed out that the Macdonald identities are the analogs of the Weyl denominator formula for affine Kac–Moody algebras and superalgebras. (en)
  • 数学において，マクドナルド恒等式（英: Macdonald identities）は，アフィンルート系に付随したある無限積の等式であり， によって導入された．特別な場合としてヤコビの三重積等式やワトソンの五重積等式， によって発見されたいくつかの等式や によって発見された10重積等式を含んでいる． と はマクドナルド恒等式がアフィンカッツ・ムーディ代数や超代数のワイルの分母公式の類似物であることを指摘した． (ja)
  • Inom matematiken är Macdonalds identiteter några identiteter bland oändliga produkter associerade till introducerade av. De har som specialfall Jacobis trippelprodukt, Watsons kvintupelproduktidentitet, flera identiteter upptäckta av ) och en produktidentitet uppräckt av ). ) och ) påpekade att Macdonalds identiteter är analogier av för och superalgebror. (sv)
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