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The universal valua...
The universal valuation of Coxeter matroids
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- Eur, Christopher (författare)
- Department of Mathematics Stanford University 450 Jane Stanford Way, Building 380 Stanford CA 94305 USA
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- Sanchez, Mario (författare)
- Department of Mathematics University of California Berkeley 970 Evans Hall Berkeley CA 94720 USA
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- Supina, Mariel (författare)
- Department of Mathematics University of California Berkeley 970 Evans Hall Berkeley CA 94720 USA
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(creator_code:org_t)
- 2021-01-18
- 2021
- Engelska.
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Ingår i: Bulletin of the London Mathematical Society. - : Wiley. - 0024-6093 .- 1469-2120. ; 53:3, s. 798-819
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Abstract
Ämnesord
Stäng
- Coxeter matroids generalize matroids just as flag varieties of Lie groups generalize Grassmannians. Valuations of Coxeter matroids are functions that behave well with respect to subdivisions of a Coxeter matroid into smaller ones. We compute the universal valuative invariant of Coxeter matroids. A key ingredient is the family of Coxeter Schubert matroids, which correspond to the Bruhat cells of flag varieties. In the process, we compute the universal valuation of generalized Coxeter permutohedra, a larger family of polyhedra that model Coxeter analogues of combinatorial objects such as matroids, clusters, and posets.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- Mathematics
- Matematik
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- art (ämneskategori)
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