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- W1539353178 abstract "Given $Gamma$ a finite subgroup of $mathbf{SL}_3mathbb{C}$, we determine how an arbitrary finite dimensional irreducible representation of $mathbf{SL}_3mathbb{C}$ decomposes under the action of $Gamma$. To the subgroup $Gamma$ we attach a generalized Cartan matrix $C_Gamma$. Then, inspired by B. Kostant, we decompose the Coxeter element of the Kac-Moody algebra attached to $C_Gamma$ as a product of reflections of a special form, thereby suggesting an algebraic form for the McKay correspondence in dimension 3." @default.
- W1539353178 created "2016-06-24" @default.
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- W1539353178 date "2009-09-03" @default.
- W1539353178 modified "2023-09-27" @default.
- W1539353178 title "McKay correspondence and the branching law for finite subgroups of $mathbf{SL}_3mathbb{C}$" @default.
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