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math.RT2026
representations and semistandard tableaux
William M. McGovern
Continuing earlier work, we show how to realize irreducible finite-dimensional representations of the complex group of type via tableaux, along the way exhibiting explicit ge…
math.RT2025
Symplectic and orthogonal tableaux revisited
William M. McGovern
We give a uniform construction of irreducible polynomial representations of all classical groups, including spin groups, using semistandard domino tableaux. We also give an explici…
math.RT2023
On the classification of primitive ideals for complex classical Lie algebras, IV
William McGovern, Thomas Pietraho
This paper is the fourth and last in the series "On the classification of primitive ideals for complex classical Lie algebras", extending earlier results in other classical types t…