Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Rebecca Patrias"'
Autor:
Rebecca Patrias, Oliver Pechenik
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
One of the oldest outstanding problems in dynamical algebraic combinatorics is the following conjecture of P. Cameron and D. Fon-Der-Flaass (1995): consider a plane partition P in an $a \times b \times c$ box ${\sf B}$ . Let $\Psi (P)$ denote
Externí odkaz:
https://doaj.org/article/d201b82c1d7f4c4eae7b85bbac606a10
Autor:
Véronique Bazier-Matte, Alexander Garver, Guillaume Douville, Rebecca Patrias, Emine Yıldırım, Hugh Thomas
Publikováno v:
International Mathematics Research Notices. 2022:1714-1733
We use Khovanov and Kuperberg’s web growth rules to identify the leading term in the invariant associated to an $\textrm{SL}_3$ web diagram, with respect to a particular term order.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e3985143c36ec1e7a21a31175e6d5bb
https://doi.org/10.1093/imrn/rnaa110
https://doi.org/10.1093/imrn/rnaa110
Autor:
Rebecca Patrias, Pavlo Pylyavskyy
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
We define a $K$ -theoretic analogue of Fomin’s dual graded graphs, which we call dual filtered graphs. The key formula in the definition is $DU - UD = D + I$. Our major examples are $K$ -theoretic analogues of Young’s lattice, the binary tree, an
Externí odkaz:
https://doaj.org/article/7a4790bf746745f4afea96f934d60d69
Autor:
Rebecca Patrias
Publikováno v:
The Mathematical Intelligencer. 41:61-64
This is a short note about Schur positivity. We introduce Schur polynomials and explain how they appear in the representation theory of the general linear group. We end with a new result of the author with F. Bergeron and V. Reiner that gives the pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::672d33caa862c467e6abb3c102f9e3b0
https://doi.org/10.1007/s00283-018-09862-8
https://doi.org/10.1007/s00283-018-09862-8
Autor:
Rebecca Patrias, Florence Maas-Gariépy
Publikováno v:
Involve 13, no. 5 (2020), 721-746
We prove K-theoretic and shifted K-theoretic analogues of the bijection of Stanton and White between domino tableaux and pairs of semistandard tableaux. As a result, we obtain product formulas for pairs of stable Grothendieck polynomials and pairs of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b302e113ebc203dc0fc67fc34334ef1
https://projecteuclid.org/euclid.involve/1608606184
https://projecteuclid.org/euclid.involve/1608606184
Autor:
Rebecca Patrias, Alexander Garver
Publikováno v:
The Electronic Journal of Combinatorics. 26
R. Sulzgruber's rim hook insertion and the Hillman–Grassl correspondence are two distinct bijections between the reverse plane partitions of a fixed partition shape and multisets of rim-hooks of the same partition shape. It is known that Hillman–
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6020f2f4d6007b8ba0e0c665a0f658da
https://doi.org/10.37236/7992
https://doi.org/10.37236/7992
Autor:
Rebecca Patrias, Pavlo Pylyavskyy
Publikováno v:
Discrete Mathematics. 339:1095-1115
We use the K -Knuth equivalence of Buch and Samuel (2015) to define a K -theoretic analogue of the Poirier-Reutenauer Hopf algebra. As an application, we rederive the K -theoretic Littlewood-Richardson rules of Thomas and Yong (2009, 2011) and of Buc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95e24353e0aa890f52b9c07af7613fb8
https://doi.org/10.1016/j.disc.2015.10.044
https://doi.org/10.1016/j.disc.2015.10.044
Autor:
Patrias, Rebecca1 (AUTHOR), Pechenik, Oliver2 (AUTHOR)
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 9/29/2023, Vol. 10, p341-352. 12p.
Given an element in a finite-dimensional real vector space, $V$, that is a nonnegative linear combination of basis vectors for some basis $B$, we compute the probability that it is furthermore a nonnegative linear combination of basis vectors for a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69ccdd807590eb4005456f22475fdc31
Autor:
Alexander Clifton, Rebecca Patrias, Rohil Prasad, Ethan Alwaise, Shuli Chen, Madeline Shinners, Albert Zheng
Publikováno v:
Involve 11, no. 1 (2018), 143-167
The question of when two skew Young diagrams produce the same skew Schur function has been well studied. We investigate the same question in the case of stable Grothendieck polynomials, which are the [math] -theoretic analogues of the Schur functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42a4438bcda79e153ca862bda41ca218
https://projecteuclid.org/euclid.involve/1513775048
https://projecteuclid.org/euclid.involve/1513775048