# Products of Young symmetrizers and ideals in the generic tensor algebra

@article{Raicu2013ProductsOY, title={Products of Young symmetrizers and ideals in the generic tensor algebra}, author={Claudiu Raicu}, journal={Journal of Algebraic Combinatorics}, year={2013}, volume={39}, pages={247-270} }

We describe a formula for computing the product of the Young symmetrizer of a Young tableau with the Young symmetrizer of a subtableau, generalizing the classical quasi-idempotence of Young symmetrizers. We derive some consequences to the structure of ideals in the generic tensor algebra and its partial symmetrizations. Instances of these generic algebras appear in the work of Sam and Snowden on twisted commutative algebras, as well as in the work of the author on the defining ideals of secant… CONTINUE READING

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