Results 31 to 40 of about 68 (56)

Toric Hall algebras and infinite-dimensional Lie algebras [PDF]

open access: yes, 2020
We associate to a projective $n$-dimensional toric variety $X_{\Delta}$ a pair of co-commutative (but generally non-commutative) Hopf algebras $H^{\alpha}_X, H^{T}_X$.
Jun, Jaiung, Szczesny, Matt
core   +1 more source

Polynomials with Lorentzian Signature, and Computing Permanents via Hyperbolic Programming

open access: yes, 2022
We study the class of polynomials whose Hessians evaluated at any point of a closed convex cone have Lorentzian signature. This class is a generalization to the remarkable class of Lorentzian polynomials.
Dey, Papri
core  

The positive orthogonal grassmannian [PDF]

open access: yes
The Plücker positive region OGr+(k,2k) of the orthogonal Grassmannian  emerged as the positive geometry behind the ABJM scattering amplitudes. In this paper we initiate the study of the positive orthogonal Grassmannian OGr+(k,n) for general values of k ...
El Maazouz, Y., Mandelshtam, Y.
core   +1 more source

Super Catalan Numbers and Fourier Summation over Finite Fields

open access: yes, 2022
We study polynomial summation over unit circles over finite fields of odd characteristic, obtaining a purely algebraic integration theory without recourse to infinite procedures. There are nonetheless strong parallels to classical integration theory over
Limanta, Kevin, Wildberger, Norman J.
core  

Boolean Schubert structure coefficients [PDF]

open access: yes
The Schubert problem asks for combinatorial models to compute structure constants of the cohomology ring with respect to Schubert classes and has been an important open problem in algebraic geometry and combinatorics that guided fruitful research for ...
Gao, Yibo, Zhu, Hai
core   +1 more source

Torus actions on affine varieties over characteristic zero fields

open access: yes, 2022
Using Galois descent tools, we extend the Altmann-Hausen presentation of normal affine algebraic varieties endowed with an effective torus action over an algebraically closed field of characteristic zero to the case where the ground field is an arbitrary
Gillard, Pierre-Alexandre
core  

Valued rank-metric codes

open access: yes, 2021
In this paper, we study linear spaces of matrices defined over discretely valued fields and discuss their dimension and minimal rank drops over the associated residue fields.
Hahn, Marvin Anas   +3 more
core  

Pieri-type multiplication formula for quantum Grothendieck polynomials

open access: yes, 2023
The purpose of this paper is to prove a Pieri-type multiplication formula for quantum Grothendieck polynomials, which was conjectured by Lenart-Maeno.
Naito, Satoshi, Sagaki, Daisuke
core  

On combinatorial invariance of parabolic Kazhdan-Lusztig polynomials

open access: yes
We show that the Combinatorial Invariance Conjecture for Kazhdan-Lusztig polynomials due to Lusztig and to Dyer, its parabolic analog due to Marietti, and a refined parabolic version that we introduce, are equivalent.
Barkley, Grant T., Gaetz, Christian
core  

Home - About - Disclaimer - Privacy