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Properties of the E...
Properties of the Edelman-Greene bijection
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- Linusson, Svante (författare)
- KTH,Matematik (Avd.)
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- Potka, Samu (författare)
- KTH,Matematik (Avd.)
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KTH Matematik (Avd) (creator_code:org_t)
- Somerville, MA, 2020
- 2020
- Engelska.
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Ingår i: Journal of Combinatorics. - Somerville, MA. - 2156-3527 .- 2150-959X. ; 11:2, s. 249-273
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.4...
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Abstract
Ämnesord
Stäng
- Edelman and Greene constructed a bijective correspondence between reduced words of the reverse permutation and standard Young tableaux. We prove that for any reduced word the shape of the region of the insertion tableau containing the smallest possible entries evolves exactly as the upper-left component of the permutation's (Rothe) diagram. Properties of the Edelman-Greene bijection restricted to 132-avoiding and 2143-avoiding permutations are presented. We also consider the Edelman-Greene bijection applied to non-reduced words.
Ämnesord
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Nyckelord
- Mathematics
- Matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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