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Positive Hall–Littlewood expansion in the immaculate basis
Hall–Littlewood immaculate positivity conjecture. The element $\mathcal{Q}'_\lambda$ expands in the immaculate basis with coefficients that are positive polynomials in $q$ . More ex…
openhall-littlewood-functions immaculate-basis noncommutative-symmetric-functions
04
Positivity of immaculate structure constants for a partition factor
Immaculate product positivity conjecture. The coefficients ${\bf c}_{\alpha,\lambda}^\beta$ are non-negative integers.
openimmaculate-basis noncommutative-symmetric-functions positivity
05

Positive Hall–Littlewood expansion in the immaculate basis