Defines a one-parameter family of algebras generalizing Schur algebras and proves they are based quasi-hereditary with representation categories that are highest weight subcategories of parabolic category O for gl_n.
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4 Pith papers cite this work. Polarity classification is still indexing.
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Combinatorial algorithm extends classical Lie algebra methods to compute GK dimensions for highest weight modules over sl(m|n) and osp(2|2n), showing dependence only on the even part.
Denormalized Lorentzian Laurent series are defined and used to prove new bounds for integral flows on DAGs and weight-space dimensions in parabolic sl_{n+1} Verma modules.
Cubic Dirac operators are defined for infinite-dimensional color Lie algebras using Z-gradings to fix normal ordering, with corrections when a color Kac-Peterson class vanishes, yielding square formulas and applications to Kac-Moody superalgebras including Dirac inequalities.
citing papers explorer
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Interpolating Schur Algebras
Defines a one-parameter family of algebras generalizing Schur algebras and proves they are based quasi-hereditary with representation categories that are highest weight subcategories of parabolic category O for gl_n.
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Gelfand--Kirillov dimensions of highest weight modules for basic classical Lie superalgebras
Combinatorial algorithm extends classical Lie algebra methods to compute GK dimensions for highest weight modules over sl(m|n) and osp(2|2n), showing dependence only on the even part.
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Dirac operators for infinite-dimensional color Lie algebras
Cubic Dirac operators are defined for infinite-dimensional color Lie algebras using Z-gradings to fix normal ordering, with corrections when a color Kac-Peterson class vanishes, yielding square formulas and applications to Kac-Moody superalgebras including Dirac inequalities.