A categorification of the positive half of quantum 𝑔𝑙(𝑚|1)

Khovanov, Mikhail; Sussan, Joshua

doi:10.1090/tran6692

A categorification of the positive half of quantum $gl(m|1)$
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by Mikhail Khovanov and Joshua Sussan PDF

Trans. Amer. Math. Soc. 369 (2017), 1627-1664 Request permission

Abstract:

We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra $gl(m|1)$.

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