Finite-rank type A link homologies are naturally viewed as gl(N) rather than sl(N) invariants because integral quantum gradings, deformation branching, and functoriality all point to the general linear Lie algebra.
Fixing the functoriality of Khovanov homology: a simple approach
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A note on general linear link homology
Finite-rank type A link homologies are naturally viewed as gl(N) rather than sl(N) invariants because integral quantum gradings, deformation branching, and functoriality all point to the general linear Lie algebra.