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math.RT2000
Remarks on the Schur-Howe-Sergeev Duality
Shun-Jen Cheng, Weiqiang Wang
We establish a new Howe duality between a pair of two queer Lie superalgebras (q(m),q(n)). This gives a representation theoretic interpretation of a well-known combinatorial identi…
math.RT2000
Howe Duality for Lie Superalgebras
Shun-Jen Cheng, Weiqiang Wang
We study a dual pair of general linear Lie superalgebras in the sense of R. Howe. We give an explicit multiplicity-free decomposition of a symmetric and skew-symmetric algebra (in…