Shun-Jen Cheng

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20002003

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math.RT2002

Howe Duality and Combinatorial Character Formula for Orthosymplectic Lie superalgebras

Shun-Jen Cheng, R. B. Zhang

We study the Howe dualities involving the reductive dual pairs $(O (d), s p o (2 m ∣2 n))$ and $(S p (d), os p (2 m ∣2 n))$ on the (super)symmetric tensor of $\C^d\otimes\C^{m|n}$. We obtain compl…

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…