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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New Bounds for Integer Flows and Verma Modules, via Denormalized Lorentzian Laurent Series
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.
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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.