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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