Canonical bases arising from \imathquantum covering groups

2021/07/13 by Christopher Chung, Chung, Christopher
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2107.06322

Abstract

For \imathquantum covering groups (U, U^\imath) of super Kac-Moody type, we construct \imath-canonical bases for the highest weight integrable U-modules and their tensor products regarded as U^\imath-modules, as well as a canonical basis for the modified form of the \imathquantum group U^\imath, using the \imath^π-divided powers, rank one canonical basis for U^\imath.

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