Zobrazeno 1 - 10
of 168 622
pro vyhledávání: '"P. Macdonald"'
Autor:
Orr, Daniel, Weising, Milo Bechtloff
The modified Macdonald functions $\widetilde{H}_{\mu}$ are fundamental objects in modern algebraic combinatorics. Haiman showed that there is a correspondence between the $(\mathbb{C}^{*})^2$-fixed points $I_{\mu}$ of the Hilbert schemes $\mathrm{Hil
Externí odkaz:
http://arxiv.org/abs/2410.13642
This is a slightly edited translation of a paper in Dutch which appeared in Nieuw Archief voor Wiskunde (5) 25 (2024), No.2, 87-90 on the occasion of I.G. Macdonald's death in 2023, and aimed at a very broad mathematical audience. First we review som
Externí odkaz:
http://arxiv.org/abs/2410.07882
Autor:
Ayers, Jeffrey, Dinkins, Hunter
We study the $K$-theoretic enumerative geometry of cyclic Nakajima quiver varieties, with particular focus on $\text{Hilb}^{m}([\mathbb{C}^{2}/\mathbb{Z}_{l}])$, the equivariant Hilbert scheme of points on $\mathbb{C}^2$. The direct sum over $m$ of t
Externí odkaz:
http://arxiv.org/abs/2410.07399
Autor:
Iohara, K., Saito, Y.
In this note, after recalling a proof of the Macdonald identities for untwisted affine root systems, we derive the Macdonald identities for twisted affine root systems.
Comment: Typos corrected
Comment: Typos corrected
Externí odkaz:
http://arxiv.org/abs/2409.07317
Autor:
Green, R. M., Xu, Tianyuan
Let $W$ be a simply laced Weyl group of finite type and rank $n$. If $W$ has type $E_7$, $E_8$, or $D_n$ for $n$ even, then the root system of $W$ has subsystems of type $nA_1$. This gives rise to an irreducible Macdonald representation of $W$ spanne
Externí odkaz:
http://arxiv.org/abs/2409.01948
Autor:
Wang, Ziwei, Simon, Steven H.
The band-projected density operators in a Landau level obey the Girvin-MacDonald-Platzman (GMP) algebra, and a large amount of effort in the study of fractional Chern insulators has been directed towards approximating this algebra in a Chern band. In
Externí odkaz:
http://arxiv.org/abs/2410.00969
Autor:
Dora, Rakesh K., Balram, Ajit C.
We study the neutral excitations in the bulk of the fractional quantum Hall (FQH) fluids generated by acting the Girvin-MacDonald-Platzman (GMP) density operator on the uniform ground state. Creating these density modulations atop the ground state co
Externí odkaz:
http://arxiv.org/abs/2410.00165
Autor:
Ram, Arun
Ian Macdonald's works changed our perspective on so many parts of algebraic combinatorics and formal power series. This talk will display some selected works of the art of Ian Macdonald, representative of different periods of his oeuvre, and analyze
Externí odkaz:
http://arxiv.org/abs/2408.01704
We demonstrate the generic existence of Dirac cones in the full Bistritzer--MacDonald Hamiltonian for twisted bilayer graphene. Its complementary set, when Dirac cones are absent, is the set of magic angles. We show the stability of magic angles obta
Externí odkaz:
http://arxiv.org/abs/2407.06316
We introduce generalization of famous Macdonald polynomials for the case of super-Young diagrams that contain half-boxes on the equal footing with full boxes. These super-Macdonald polynomials are polynomials of extended set of variables: usual $p_k$
Externí odkaz:
http://arxiv.org/abs/2407.03301