Hecke-Clifford superalgebras and crystals of type $D^{2} {l}$ - Mathematics > Representation TheoryReport as inadecuate




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Abstract: Brundan and Kleshchev showed that some parts of the representation theory ofthe affine Hecke-Clifford superalgebras and its finite-dimensional -cyclotomic-quotients are controlled by the Lie theory of type $A^{2} {2l}$ when thequantum parameter $q$ is a primitive $2l+1$-th root of unity. We show in thispaper that similar theorems hold when $q$ is a primitive $4l$-th root of unityby replacing the Lie theory of type $A^{2} {2l}$ with that of type$D^{2} {l}$.



Author: Shunsuke Tsuchioka

Source: https://arxiv.org/







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