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pro vyhledávání: '"05E99, 05E05"'
Autor:
Cape, Noah, Zemel, Shaul
The fact that Schubert polynomials are the weighted counting functions for reduced RC-graphs, also known as reduced pipe dreams, was established using their generating functions inside an appropriate Demazure algebra. Here we investigate the generati
Externí odkaz:
http://arxiv.org/abs/2411.08465
We introduce coplactic raising and lowering operators $E'_i$, $F'_i$, $E_i$, and $F_i$ on shifted skew semistandard tableaux. We show that the primed operators and unprimed operators each independently form type A Kashiwara crystals (but not Stembrid
Externí odkaz:
http://arxiv.org/abs/1706.09969
Autor:
Bultel, Jean-Paul, Giraudo, Samuele
Publikováno v:
Journal of Algebraic Combinatorics, 1--39, 2016
We introduce a general construction that takes as input a so-called stiff PRO and that outputs a Hopf algebra. Stiff PROs are particular PROs that can be described by generators and relations with precise conditions. Our construction generalizes the
Externí odkaz:
http://arxiv.org/abs/1406.6903
We introduce coplactic raising and lowering operators $E'_i$, $F'_i$, $E_i$, and $F_i$ on shifted skew semistandard tableaux. We show that the primed operators and unprimed operators each independently form type A Kashiwara crystals (but not Stembrid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df1981733c9b3c265777e5848ffd4652
http://arxiv.org/abs/1706.09969
http://arxiv.org/abs/1706.09969
Autor:
Jean-Paul Bultel, Samuele Giraudo
Publikováno v:
Journal of Algebraic Combinatorics
Journal of Algebraic Combinatorics, Springer Verlag, 2016, ⟨10.1007/s10801-016-0677-7⟩
Journal of Algebraic Combinatorics, Springer Verlag, 2016, ⟨10.1007/s10801-016-0677-7⟩
We introduce a general construction that takes as input a so-called stiff PRO and that outputs a Hopf algebra. Stiff PROs are particular PROs that can be described by generators and relations with precise conditions. Our construction generalizes the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80f260f33a891c99b4dfe59f522cbe45
http://arxiv.org/abs/1406.6903
http://arxiv.org/abs/1406.6903