Universal filtration of Schur complexes
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- by Giandomenico Boffi PDF
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Abstract:
The Schur complex ${{\mathbf {L}}_{\lambda /\mu }}\phi$ has proved useful in studying resolutions of determinantal ideals, both in characteristic zero and in a characteristic-free setting. We show here that in every characteristic, ${{\mathbf {L}}_{\lambda /\mu }}\phi$ is isomorphic, up to a filtration, to a sum of Schur complexes $\sum \nolimits _\nu {\gamma (\lambda /\mu ;\nu ){{\mathbf {L}}_\nu }\phi }$, where $\gamma (\lambda /\mu ;\nu )$ is the usual Littlewood-Richardson coefficient. This generalizes a well-known direct sum decomposition of ${{\mathbf {L}}_{\lambda /\mu }}\phi$ in characteristic zero.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 351-355
- MSC: Primary 13D25; Secondary 20G05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1169021-4
- MathSciNet review: 1169021