nLab reductive dual pair

Idea

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Related concepts

• reductive Lie algebra

References

The original articles:

• Roger Howe, Remarks on classical invariant theory, Trans. Amer. Math. Soc. 313 (1989) 539-570 [doi:10.2307%2F2001418]

• Roger Howe, Transcending classical invariant theory, J. Amer. Math. Soc. 2 (1989) 535-552 [doi:10.2307%2F1990942]

See also:

• Wikipedia, Reductive dual pair

Generalization to super Lie algebras:

• Allan Merino, Hadi Salmasian, Classification and double commutant property for dual pairs in an orthosymplectic Lie supergroup [arXiv:2208.09746]

Analogues of Howe dual pairs in vertex operator algebra theory

• B. Lian, Andrew Linshaw, Howe pairs in the theory of vertex algebras, J. Algebra 317 (2007) 111-152 arXiv:math.RT/0605174 doi