Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Albion, Seamus"'
Autor:
Albion, Seamus, Eisenkölbl, Theresia, Fischer, Ilse, Gangl, Moritz, Höngesberg, Hans, Krattenthaler, Christian, Rubey, Martin
We exhibit, for any positive integer parameter $s$, an involution on the set of integer partitions of $n$. These involutions show the joint symmetry of the distributions of the following two statistics. The first counts the number of parts of a parti
Externí odkaz:
http://arxiv.org/abs/2407.16043
We use the elliptic interpolation kernel due to the second author to prove an $\mathrm{A}_n$ extension of the elliptic Selberg integral. More generally, we obtain elliptic analogues of the $\mathrm{A}_n$ Kadell, Hua-Kadell and Alba-Fateev-Litvinov-Ta
Externí odkaz:
http://arxiv.org/abs/2306.02442
Publikováno v:
European Journal of Combinatorics 122 (2024), 104000
The skew Schur functions admit many determinantal expressions. Chief among them are the (dual) Jacobi-Trudi formula and the Lascoux-Pragacz formula, which is a skew analogue of the Giambelli identity. Comparatively, the skew characters of the symplec
Externí odkaz:
http://arxiv.org/abs/2305.11730
Autor:
Albion, Seamus P.
Publikováno v:
Algebr. Comb. 6 (2023), no. 6, 1653-1676
A classical result of Littlewood gives a factorisation for the Schur function at a set of variables "twisted" by a primitive $t$-th root of unity, characterised by the core and quotient of the indexing partition. While somewhat neglected, it has prov
Externí odkaz:
http://arxiv.org/abs/2212.07343
Autor:
Albion, Seamus P.1 (AUTHOR)
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 6/4/2024, Vol. 11, p133-146. 14p.
Publikováno v:
In European Journal of Combinatorics December 2024 122
Autor:
Albion, Seamus P.
Publikováno v:
Proc. Amer. Math. Soc. Ser. B 11 (2024), 133-146
We prove a novel pair of Littlewood identities for Schur functions, recently conjectured by Lee, Rains and Warnaar in the Macdonald case, in which the sum is over partitions with empty 2-core. As a byproduct we obtain a new Littlewood identity in the
Externí odkaz:
http://arxiv.org/abs/2108.12766
Publikováno v:
Communications in Mathematical Physics 388 (2021), 735-791
In their 2011 paper on the AGT conjecture, Alba, Fateev, Litvinov and Tarnopolsky (AFLT) obtained a closed-form evaluation for a Selberg integral over the product of two Jack polynomials, thereby unifying the well-known Kadell and Hua--Kadell integra
Externí odkaz:
http://arxiv.org/abs/2001.05637
Autor:
Albion, Seamus P.1 (AUTHOR), Rains, Eric M.2 (AUTHOR), Warnaar, S. Ole3 (AUTHOR) o.warnaar@maths.uq.edu.au
Publikováno v:
Communications in Mathematical Physics. Dec2021, Vol. 388 Issue 2, p735-791. 57p.