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- W2897038422 abstract "Let g be a simple Lie algebra. In this note, we provide simple formulae for the index of sl2-subalgebras in the classical Lie algebras and a new formula for the index of the principal sl2. We also compute the difference, D, of the indices of principal and subregular sl2-subalgebras. Our formula for D involves some data related to the McKay correspondence for g. Using the index of sl2-subalgebras of classical Lie algebras, we obtain three series of interesting combinatorial identities parameterised by partitions." @default.
- W2897038422 created "2018-10-26" @default.
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- W2897038422 date "2015-05-01" @default.
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- W2897038422 title "The Dynkin index and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi mathvariant=fraktur>sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>-subalgebras of simple Lie algebras" @default.
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- W2897038422 doi "https://doi.org/10.1016/j.jalgebra.2015.01.033" @default.
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