Abstract
In this article, we exploit the theory of graded module categories with semi-infinite character developed by Soergel (Character formulas for tilting modules over Kac–Moody algebras, Represent. Theor. 2 (1998), 432–448) to study representations of infinite-dimensional Lie algebras of vector fields $W(n), S(n)$ and $H(n) (n \geq 2)$, and obtain a description of indecomposable tilting modules. The character formulas for those tilting modules are determined.
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More From: Publications of the Research Institute for Mathematical Sciences
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