Full computation of Howe duality restrictions over finite fields yields recursive irrep constructions for symplectic and orthogonal groups plus proofs of rank and exhaustion conjectures for type C.
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4 Pith papers cite this work. Polarity classification is still indexing.
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Every simple commutative algebra in the Delannoy category Rep(G), for G = Aut(R,<), is isomorphic to the Schwartz algebra C(R^(n)) of functions on ordered n-tuples; tensor-product relative versions (Theorems B and C) also hold.
Constructs the type I Howe duality correspondence in the two stable ranges over finite fields as the first paper in a series.
A magnetized conditionally convergent tensor product of profinitely many F_2-vector spaces is defined under pro-2-group orbit conditions, with a variant for bimodules over products of F_2 and cyclic orders, to aid Heegaard Floer computations.
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Howe duality over finite fields III: Full computation and the Gurevich-Howe conjectures
Full computation of Howe duality restrictions over finite fields yields recursive irrep constructions for symplectic and orthogonal groups plus proofs of rank and exhaustion conjectures for type C.
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Classification of simple commutative algebras in the Delannoy category
Every simple commutative algebra in the Delannoy category Rep(G), for G = Aut(R,<), is isomorphic to the Schwartz algebra C(R^(n)) of functions on ordered n-tuples; tensor-product relative versions (Theorems B and C) also hold.
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Howe duality over finite fields I: The two stable ranges
Constructs the type I Howe duality correspondence in the two stable ranges over finite fields as the first paper in a series.
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Profinite tensor powers
A magnetized conditionally convergent tensor product of profinitely many F_2-vector spaces is defined under pro-2-group orbit conditions, with a variant for bimodules over products of F_2 and cyclic orders, to aid Heegaard Floer computations.