5 papers
The Bloch-Okounkov correlation functions at higher levels
Shun-Jen Cheng, Weiqiang Wang
We establish an explicit formula for the n-point correlation functions in the sense of Bloch-Okounkov for the irreducible representations of and of…
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 and on the (super)symmetric tensor of $\C^d\otimes\C^{m|n}$. We obtain compl…
Lie subalgebras of differential operators on the super circle
Shun-Jen Cheng, Weiqiang Wang
We classify anti-involutions of Lie superalgebra $\hsd$ preserving the principal gradation, where $\hsd$ is the central extension of the Lie superalgebra of differential operators…
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…
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…