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pro vyhledávání: '"Stephan Pfannerer"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
In 2010, Rhoades proved that promotion on rectangular standard Young tableaux, together with the associated fake-degree polynomial, provides an instance of the cyclic sieving phenomenon. We extend this result to m-tuples of skew standard Young tablea
Externí odkaz:
https://doaj.org/article/fcd9075cf0264f538815622a54e5d749
Autor:
Stephan Pfannerer
Lusztig's fake degree is the generating polynomial for the major index of standard Young tableaux of a given shape. Results of Springer and James & Kerber imply that, mysteriously, its evaluation at a $k$-th primitive root of unity yields the number
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96dafd526b2d89ec88cd808e5ab694f7
http://arxiv.org/abs/2105.13750
http://arxiv.org/abs/2105.13750
Publikováno v:
Forum of Mathematics, Sigma. 9
In 2010, Rhoades proved that promotion on rectangular standard Young tableaux, together with the associated fake-degree polynomial, provides an instance of the cyclic sieving phenomenon. We extend this result to m-tuples of skew standard Young tablea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::937484c3bdf5a34ee427d3a0971666bf
https://doi.org/10.1017/fms.2021.11
https://doi.org/10.1017/fms.2021.11
Using Henriques' and Kamnitzer's cactus groups, Schutzenberger's promotion and evacuation operators on standard Young tableaux can be generalised in a very natural way to operators acting on highest weight words in tensor products of crystals. For th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bc855abc356a992a3e7fbe5854bb594
http://arxiv.org/abs/1804.06736
http://arxiv.org/abs/1804.06736
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.
Autor:
Alexandersson, Per1 (AUTHOR) per.w.alexandersson@gmail.com, Pfannerer, Stephan2 (AUTHOR) stephan.pfannerer@tuwien.ac.at, Rubey, Martin2 (AUTHOR) martin.rubey@tuwien.ac.at, Uhlin, Joakim1 (AUTHOR) joakim_uhlin@hotmail.com
Publikováno v:
Forum of Mathematics, Sigma. 2021, Vol. 9, p1-31. 32p.
Publikováno v:
50th IMO - 50 Years of International Mathematical Olympiads; 2011, p101-153, 53p
Publikováno v:
50th IMO - 50 Years of International Mathematical Olympiads; 2011, p47-100, 54p
In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, ge
In July 2009 Germany hosted the 50th International Mathematical Olympiad (IMO). For the very first time the number of participating countries exceeded 100, with 104 countries from all continents. Celebrating the 50th anniversary of the IMO provides a