Canonical bases for the quantum linear supergroups
Abstract
We give a combinatorial construction for the canonical bases of the -parts of the quantum enveloping superalgebra (glm|n) and discuss their relationship with the Kazhdan-Lusztig bases for the quantum Schur superalgebras (m|n,r) introduced in DR. We will also extend this relationship to the induced bases for simple polynomial representations of (glm|n).
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