Eigenvalues, invariant factors, highest weights, and Schubert calculus

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dc.creatorFulton, William
dc.date1999-08-02
dc.date2000-03-27
dc.date.accessioned2026-07-07T05:30:11Z
dc.date.available2026-07-07T05:30:11Z
dc.descriptionWe describe recent work of Klyachko, Totaro, Knutson, and Tao, that characterizes eigenvalues of sums of Hermitian matrices, and decomposition of tensor products of representations of $GL_n(\mathbb{C})$. We explain related applications to invariant factors of products of matrices, intersections in Grassmann varieties, and singular values of sums and products of arbitrary matrices.
dc.description42 pages, AMSTeX, with Xy-pic. This is the final version, including corrections made in page proofs for publication as a Research/Expository article in Bull. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/9908012
dc.identifierhttp://arxiv.org/abs/math/9908012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78911
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectRepresentation Theory
dc.subject15A42; 22E46; 14M15; 05E15; 13F10; 14C17; 15A18; 47B07
dc.titleEigenvalues, invariant factors, highest weights, and Schubert calculus
dc.typetext

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