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arXiv · 2504.14030

Symplectic and orthogonal tableaux revisited

William M. McGovern
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Abstract

We give a uniform construction of irreducible polynomial representations of all classical groups, including spin groups, using semistandard domino tableaux. We also give an explicit decomposition of the homogeneous coordinate ring of the flag variety for classical groups and explicit generators for the ideal of functions vanishing on this variety.

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William M. McGovern. 2025-04-18. Symplectic and orthogonal tableaux revisited. https://arxiv.org/abs/2504.14030

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