Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Peter L. Guo"'
Publikováno v:
Advances in Applied Mathematics. 108:45-66
Using the equivariant cohomology theory, Naruse obtained a hook length formula for the number of standard Young tableaux of skew shape λ / μ . Morales, Pak and Panova found two q-analogues of Naruse's formula respectively by counting semistandard Y
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efdc42ff5e0ec75457e512c875a9d544
https://doi.org/10.1016/j.aam.2019.03.005
https://doi.org/10.1016/j.aam.2019.03.005
Publikováno v:
Journal of Pure and Applied Algebra. 221:237-250
Parabolic R-polynomials were introduced by Deodhar as parabolic analogues of ordinary R-polynomials defined by Kazhdan and Lusztig. In this paper, we are concerned with the computation of parabolic R -polynomials for the symmetric group. Let SnSn be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1eaac59b7a58b8e512148c855080d6a
https://doi.org/10.1016/j.jpaa.2016.06.007
https://doi.org/10.1016/j.jpaa.2016.06.007
We confirm a conjecture of Monical, Tokcan and Yong on a characterization of the lattice points in the Newton polytopes of key polynomials.
10 pages, 6 figures
10 pages, 6 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b11e7d3e247ed4401ed23226966bc9e
http://arxiv.org/abs/1911.07650
http://arxiv.org/abs/1911.07650
Autor:
Neil J.Y. Fan, Peter L. Guo
Schubitopes were introduced by Monical, Tokcan and Yong as a specific family of generalized permutohedra. It was proven by Fink, M\'esz\'aros and St.$\,$Dizier that Schubitopes are the Newton polytopes of the dual characters of flagged Weyl modules.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3def47419dc0296fb65e4072b9d7b097
http://arxiv.org/abs/1910.02816
http://arxiv.org/abs/1910.02816
Autor:
Neil J.Y. Fan, Peter L. Guo
The notion of set-valued Young tableaux was introduced by Buch in his study of the Littlewood-Richardson rule for stable Grothendieck polynomials. Knutson, Miller and Yong showed that the double Grothendieck polynomials of 2143-avoiding permutations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ccf54ffb3f912392a4326b46d6be1c6
Autor:
Peter L. Guo, Neil J.Y. Fan
Let $w$ be a permutation of $\{1,2,\ldots,n \}$, and let $D(w)$ be the Rothe diagram of $w$. The Schubert polynomial $\mathfrak{S}_w(x)$ can be realized as the dual character of the flagged Weyl module associated to $D(w)$. This implies a coefficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a23cc281b1638e9371f3d7cfe275f44
The notion of a barely set-valued semistandard Young tableau was introduced by Reiner, Tenner and Yong in their study of the probability distribution of edges in the Young lattice of partitions. Given a partition $\lambda$ and a positive integer $k$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d689b6324969cf96fb8c8dc06614bd8
http://arxiv.org/abs/1807.08292
http://arxiv.org/abs/1807.08292
Publikováno v:
Mathematische Zeitschrift. 281:661-672
We introduce the structure of vacillating Hecke tableaux, and establish a one-to-one correspondence between vacillating Hecke tableaux and linked partitions by using the Hecke insertion algorithm developed by Buch, Kresch, Shimozono, Tamvakis and Yon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0411c41ca43c47cbccff4793569de97f
https://doi.org/10.1007/s00209-015-1501-0
https://doi.org/10.1007/s00209-015-1501-0
Autor:
Peter L. Guo, William Y. C. Chen
Publikováno v:
Discrete & Computational Geometry. 52:630-662
Let $$Q_n$$Qn denote the $$n$$n-dimensional hypercube with vertex set $$V_n=\{0,1\}^n$$Vn={0,1}n. A $$0/1$$0/1-polytope of $$Q_n$$Qn is the convex hull of a subset of $$V_n$$Vn. This paper is concerned with the enumeration of equivalence classes of f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ed7857ee1c40465f99026849fae6b77
https://doi.org/10.1007/s00454-014-9630-5
https://doi.org/10.1007/s00454-014-9630-5
Autor:
Peter L. Guo, William Y. C. Chen, Alan J. X. Guo, Michael X. X. Zhong, Neil J. Y. Fan, Harry H. Y. Huang
Publikováno v:
Mathematische Zeitschrift. 277:1017-1025
In this paper, we present a combinatorial proof of the inversion formula on the Kazhdan–Lusztig \(R\)-polynomials. This problem was raised by Brenti. As a consequence, we obtain a combinatorial interpretation of the equidistribution property due to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fc04e8c34b4cd5a09cef72c42a7b5f1
https://doi.org/10.1007/s00209-014-1291-9
https://doi.org/10.1007/s00209-014-1291-9