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math.QAApr 1, 2013
11
citations (OpenAlex)
authors
  • Sean Clark
  • David Hill
  • Weiqiang Wang
institutions
  • Northeastern University
  • University of Virginia
arXiv abstractPDF
paper

Quantum supergroups II. Canonical basis

arXiv:1304.7837

Abstract

Following Kashiwara's algebraic approach, we construct crystal bases and canonical bases for quantum supergroups with no isotropic odd roots and for their integrable modules.

v1 28 pages; v2 mild revision, updated references

References in corpus (7)

  • The odd nilHecke algebra and its diagrammatics
  • Quantum Supergroups III. Twistors
  • An odd categorification of quantum sl(2)
  • Categorification of quantum Kac-Moody superalgebras
  • Supercategorification of quantum Kac-Moody algebras II
  • Quantum Supergroups I. Foundations
  • Two-parameter quantum algebras, canonical bases and categorifications

Cited by in corpus (8)

  • Quantum Supergroups III. Twistors
  • An odd categorification of quantum sl(2)
  • Quantum Shuffles and Quantum Supergroups of Basic Type
  • Quantum Supergroups I. Foundations
  • DG structures on odd categorified quantum sl(2)
  • Quantum supergroups VI. Roots of 1
  • An identification of Lusztig's modified forms of quantum algebras and their analogues
  • Quantum supergroups IV. The modified form
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