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- W2892684938 abstract "The blob algebra is a finite-dimensional quotient of the Hecke algebra of type $B$ which is almost always quasi-hereditary. We construct the indecomposable tilting modules for the blob algebra over a field of characteristic $0$ in the doubly critical case. Every indecomposable tilting module of maximal highest weight is either a projective module or an extension of a simple module by a projective module. Moreover, every indecomposable tilting module is a submodule of an indecomposable tilting module of maximal highest weight. We conclude that the graded Weyl multiplicities of the indecomposable tilting modules in this case are given by inverse Kazhdan-Lusztig polynomials of type $tilde{A}_1$." @default.
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- W2892684938 date "2018-09-27" @default.
- W2892684938 modified "2023-10-02" @default.
- W2892684938 title "Indecomposable tilting modules for the blob algebra" @default.
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