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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5 Pith papers cite this work. Polarity classification is still indexing.
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The Links-Gould polynomial distinguishes every Allen-Swenberg link AS(n) from the causally unrelated unlink, where the Alexander-Conway polynomial fails.
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.
Constructs a unified basis and proves cellularity for the generalized Hu algebra at d=2, giving an elementary realization of simple modules for the Hecke algebra of type D_{2m} parameterized by bipartitions (m,m).
The Lie algebra g_{-1}^B from gl_{m|n} via derived bracket is classified up to isomorphism by rank(B)=r and the set {m,n}, with Levi factor sl(r).
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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.
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On Cellularity of Hecke Algebras for Wreath Products
Constructs a unified basis and proves cellularity for the generalized Hu algebra at d=2, giving an elementary realization of simple modules for the Hecke algebra of type D_{2m} parameterized by bipartitions (m,m).