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math.QAJun 6, 2014
3
citations (OpenAlex)
authors
  • Mikhail Khovanov
  • Joshua Sussan
arXiv abstractPDF
paper

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

arXiv:1406.1676

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).

References in corpus (9)

  • A diagrammatic approach to categorification of quantum groups I
  • 2-Kac-Moody algebras
  • Bordered Heegaard Floer homology: Invariance and pairing
  • Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties
  • Categorification of quantum Kac-Moody superalgebras
  • A categorification of U_q sl(1,1) as an algebra
  • Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology
  • Quantum Shuffles and Quantum Supergroups of Basic Type
  • Categorification of tensor powers of the vector representation of Uq​(gl(1∣1))

Cited by in corpus (3)

  • The differential graded odd nilHecke algebra
  • DG structures on odd categorified quantum sl(2)
  • Canonical bases for the quantum enveloping algebra of gl(m|1) and its modules
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