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- W3105582008 abstract "With the aid of the exponentiation functor and Fourier transform we introduce a class of modules $T(g,V,S)$ of $mathfrak{sl} (n+1)$ of mixed tensor type. By varying the polynomial $g$, the $mathfrak{gl}(n)$-module $V$, and the set $S$, we obtain important classes of weight modules over the Cartan subalgebra $mathfrak h$ of $mathfrak{sl} (n+1)$, and modules that are free over $mathfrak h$. Furthermore, these modules are obtained through explicit presentation of the elements of $mathfrak{sl} (n+1)$ in terms of differential operators and lead to new tensor coherent families of $mathfrak{sl} (n+1)$. An isomorphism theorem and simplicity criterion for $T(g,V,S)$ is provided." @default.
- W3105582008 created "2020-11-23" @default.
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- W3105582008 date "2020-11-19" @default.
- W3105582008 modified "2023-10-12" @default.
- W3105582008 title "Exponentiation and Fourier transform of tensor modules of $mathfrak{sl} (n+1)$" @default.
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