Quantum supergroups IV. The modified form

Abstract

We construct a canonical basis for a class of tensor product modules of a quantum covering group associated to a Kac-Moody Lie superalgebra of anisotropic type, and use these bases to construct a canonical basis for the modified form of a quantum covering group.

v1 32 pages; v2 33 pages, minor changes, to appear in Mathematische Zeitschrift

References in corpus (5)

• Knot invariants and higher representation theory
• Branes And Supergroups
• Quantum Supergroups III. Twistors
• An odd categorification of quantum sl(2)
• Quantum Shuffles and Quantum Supergroups of Basic Type