6 papers
Quantum Corner Polynomials: A Generalization of Super Macdonald Polynomials and Their VOA Correspondence
Panupong Cheewaphutthisakun, Jun'ichi Shiraishi, Keng Wiboonton
In this paper, we introduce a family of partially symmetric polynomials, which we call quantum corner polynomials, as a generalization of the Sergeev-Veselov super Macdonald polyno…
On solvable Lie algebras of small breadth
Borworn Khuhirun, Korkeat Korkeathikhun, Songpon Sriwongsa +1
The concept of breadth has been used in the classification of p-groups and nilpotent Lie algebras. In this paper, we investigate this notion for finite-dimensional solvable Lie alg…
Quantum Corner VOA and the Super Macdonald Polynomials
Panupong Cheewaphutthisakun, Jun'ichi Shiraishi, Keng Wiboonton
In this paper, we establish a relation between the quantum corner VOA , which can be regarded as a generalization of quantum algebra, and Sergeev-…
A recursion formula for Branching from to subalgebras
Korkeat Korkeathikhun, Borworn Khuhirun, Songpon Sriwongsa +1
For any representation of a complex simple Lie algebra , one problem of branching rules to -subalgebra is to determine the multiplicity of each ir…
Elliptic Deformation of the Gaiotto-RapÄák Corner VOA and the Associated Partially Symmetric Polynomials
Panupong Cheewaphutthisakun, Jun'ichi Shiraishi, Keng Wiboonton
We construct the elliptic Miura transformation and use it to obtain the expression of the currents of elliptic corner VOA. We subsequently prove a novel combinatorial formula that…
The triangle inequality for graded real vector spaces
Songpon Sriwongsa, Keng Wiboonton
In this paper, we prove that a natural candidate for a homogeneous norm on a graded Lie algebra of any length satisfies the triangle inequality which answers Moskowitz's question.