Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Martina Lanini"'
Autor:
Martina Lanini
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AR,..., Iss Proceedings (2012)
Motivated by a result of Fiebig (2007), we categorify some properties of Kazhdan-Lusztig polynomials via sheaves on Bruhat moment graphs. In order to do this, we develop new techniques and apply them to the combinatorial data encoded in these moment
Externí odkaz:
https://doaj.org/article/6584014800134aa88af030003b4fb3d5
Autor:
Martina Lanini, Alexander Pütz
Publikováno v:
Journal of Algebraic Combinatorics. 57:915-956
In our previous work, we equipped quiver Grassmannians for nilpotent representations of the equioriented cycle with an action of an algebraic torus. We show here that the equivariant cohomology ring is acted upon by a product of symmetric groups and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b069fc3e9b32dca7708e33ad6ca2b77
https://doi.org/10.1007/s10801-022-01211-5
https://doi.org/10.1007/s10801-022-01211-5
Publikováno v:
Oberwolfach Reports. 16:2869-2909
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::becbe48fa73babab406a261a862cd353
https://doi.org/10.4171/owr/2019/46
https://doi.org/10.4171/owr/2019/46
Autor:
Martina Lanini, Peter Fiebig
Publikováno v:
Transformation Groups. 25:755-791
We relate the category of sheaves on alcoves that was constructed in "Sheaves on the alcoves and modular representations I" to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::681bab555f7739065c4dbafb1d692d27
https://doi.org/10.1007/s00031-020-09562-8
https://doi.org/10.1007/s00031-020-09562-8
Autor:
Martina Lanini, Peter J. McNamara
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
We describe an algorithm which pattern embeds, in the sense of Woo-Yong, any Bruhat interval of a symmetric group into an interval whose extremes lie in the same right Kazhdan-Lusztig cell. This apparently harmless fact has applications in finding ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8689391eb8b425748ea580553c140f13
https://doi.org/10.3842/sigma.2021.070
https://doi.org/10.3842/sigma.2021.070
The book, based on the INdAM Workshop'Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology'provides a bridge between different communities of mathematicians who utilize splines in their work. Splines are mathematical objects w
Autor:
Martina Lanini, Kirill Zainoulline
In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and pushforwards for twisted fibrations of moment graphs. We prove an analogue of the Riemann-Roch theorem fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e669968aa8567371a836e687cf890b30
Autor:
Peter Fiebig, Martina Lanini
Publikováno v:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 86:203-212
We give an overview on the series of articles (Fiebig and Lanini, Filtered moment graph sheaves, arXiv:1508.05579 , 2015, Fiebig and Lanini, Periodic structures on affine moment graphs I: dualities and translation functors, arXiv:1504.01699 , 2015, F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b72612192017b81f2bcfccc5ab4b4544
https://doi.org/10.1007/s12188-016-0133-6
https://doi.org/10.1007/s12188-016-0133-6
Publikováno v:
Oberwolfach Reports. 13:615-651
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33b083a42d6b939d74ebeb489bb8706e
https://doi.org/10.4171/owr/2016/13
https://doi.org/10.4171/owr/2016/13
Autor:
Martina Lanini
Publikováno v:
Transactions of the American Mathematical Society. 367:4111-4156
In 1980 Lusztig proved a stabilisation property of the affine Kazhdan-Lusztig polynomials. In this paper we give a categorical version of such a result using the theory of sheaves on moment graphs. This leads us to associate with any Kac-Moody algebr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf4e7153b5662606a1d3e2538f3a554c
https://doi.org/10.1090/s0002-9947-2015-06169-8
https://doi.org/10.1090/s0002-9947-2015-06169-8