Zobrazeno 1 - 10
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pro vyhledávání: '"Brendan Pawlowski"'
Autor:
Brendan Pawlowski
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
To each finite subset of a discrete grid $\mathbb{N}×\mathbb{N}$ (a diagram), one can associate a subvariety of a complex Grassmannian (a diagram variety), and a representation of a symmetric group (a Specht module). Liu has conjectured that the coh
Externí odkaz:
https://doaj.org/article/ba544bea783849a8b994e3e6e1c32ae2
Autor:
Sara Billey, Brendan Pawlowski
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
Generalizing the notion of a vexillary permutation, we introduce a filtration of $S_{\infty}$ by the number of Edelman-Greene tableaux of a permutation, and show that each filtration level is characterized by avoiding a finite set of patterns. In doi
Externí odkaz:
https://doaj.org/article/53a9dfb8249e4b38853d2517bb12f9f0
Autor:
Brendan Pawlowski
Publikováno v:
Algebraic Combinatorics. 5:1-20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d6fa98e098af24d7e50cc72293b0369
https://doi.org/10.5802/alco.134
https://doi.org/10.5802/alco.134
Publikováno v:
The Electronic Journal of Combinatorics. 30
Let $V_1, V_2, V_3, \dots $ be a sequence of $\mathbb {Q}$-vector spaces where $V_n$ carries an action of $\mathfrak{S}_n$. Representation stability and multiplicity stability are two related notions of when the sequence $V_n$ has a limit. An importa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::706aa41d4429cf7571f94088011eb190
https://doi.org/10.37236/11136
https://doi.org/10.37236/11136
Publikováno v:
Canadian Journal of Mathematics. 74:1310-1346
Involution Schubert polynomials represent cohomology classes of $K$-orbit closures in the complete flag variety, where $K$ is the orthogonal or symplectic group. We show they also represent $T$-equivariant cohomology classes of subvarieties defined b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78b7c5b59a3b3e8a39406d43a634ca08
https://doi.org/10.4153/s0008414x21000274
https://doi.org/10.4153/s0008414x21000274
Autor:
Brendan Pawlowski, Eric Marberg
Publikováno v:
Algebraic Combinatorics. 4:273-287
There is a remarkable formula for the principal specialization of a type A Schubert polynomial as a weighted sum over reduced words. Taking appropriate limits transforms this to an identity for the backstable Schubert polynomials recently introduced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::085429fe106a0ddadc86e519b1fecc9a
https://doi.org/10.5802/alco.148
https://doi.org/10.5802/alco.148
Publikováno v:
Algebraic Combinatorics. 3:365-388
Given a set of permutations Pi, let S_n(Pi) denote the set of permutations in the symmetric group S_n that avoid every element of Pi in the sense of pattern avoidance. Given a subset S of {1,...,n-1}, let F_S be the fundamental quasisymmetric functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::650f800a90e7f92b72af1363f1ee562d
https://doi.org/10.5802/alco.96
https://doi.org/10.5802/alco.96
Publikováno v:
International Mathematics Research Notices. 2019:5389-5440
The involution Stanley symmetric functions $\hat{F}_y$ are the stable limits of the analogues of Schubert polynomials for the orbits of the orthogonal group in the flag variety. These symmetric functions are also generating functions for involution w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0d05c7498e902a8bcb10549038b87fc
https://doi.org/10.1093/imrn/rnx274
https://doi.org/10.1093/imrn/rnx274
Autor:
Eric Marberg, Brendan Pawlowski
Grothendieck polynomials, introduced by Lascoux and Sch\"utzenberger, are certain $K$-theory representatives for Schubert varieties. Symplectic Grothendieck polynomials, described more recently by Wyser and Yong, represent the $K$-theory classes of o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c88d2b92ae0a47196c09e942a8f53e6a
http://arxiv.org/abs/1906.01286
http://arxiv.org/abs/1906.01286
Autor:
Brendan Pawlowski, Eric Marberg
The complex orthogonal and symplectic groups both act on the complete flag variety with finitely many orbits. We study two families of polynomials introduced by Wyser and Yong representing the $K$-theory classes of the closures of these orbits. Our p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::581c8d0fad2ce41a8b1f87c58d65a4e3
http://arxiv.org/abs/1906.00907
http://arxiv.org/abs/1906.00907