4 problems
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Spinor-origin conjecture for maximal irreducible Lie superalgebras
Let be a linear superspace of dimension , let be the Grassmann superalgebra on odd generators, and set . Suppose … Then…
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Characterization of representations satisfying identity (specialodd)
Characterization conjecture. Identity $$ holds if and only if the representation is a Young power of or .
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Theta-duality conjecture for symplectic local systems
Let be the curve in question, let be the sheaf whose pullback occurs in the twisted global geometric Langlands correspondence, and let be a sy…
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Rowell–Wang conjecture on Gaussian representations and spinor centralizer algebras
Let the Gaussian representations be the braid-group representations studied by Rowell and Wang in the context of quantum computing, and let the centralizer algebras of quantum grou…