Semiorthogonal

Quick meaning: Semiorthogonal is an adjective meaning (physics) Orthogonal to the corresponding approximation space.

Meaning

(physics) Orthogonal to the corresponding approximation space.

More Meanings

1. (mathematics, category theory) Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.
2. (mathematics, matrix algebra) Either columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix).

Example Sentences

For del Pezzo surfaces of degree at least 5, we construct explicit semiorthogonal decompositions by subcategories of modules over semisimple algebras arising as endomorphism algebras of vector bundles and we show how to retrieve information about the index of the surface from Brauer classes and Chern classes associated to these vector bundles.

Related Words

Related dictionary entries include orthogonal, orthomodular, orthosymplectic, biorthonormal, wellpowered, orthosymmetric.

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