Quantum W1+∞ subalgebras of BCD type and symmetric polynomials

DOI10.1063/5.0049355zbMath1467.81103arXiv2101.03877OpenAlexW3171287987MaRDI QIDQ5000220

Publication date: 9 July 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03877

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Applications of Lie (super)algebras to physics, etc. (17B81) Bergman spaces and Fock spaces (30H20) Fermionic systems in quantum theory (81V74) Bosonic systems in quantum theory (81V73)

Related Items (3)

ABCD of qq-characters ⋮ Algebraic engineering and integrable hierarchies ⋮ Shifted quiver quantum toroidal algebra and subcrystal representations

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
CKP hierarchy, bosonic tau function and bosonization formulae
Quantum continuous $\mathfrak{gl}_{\infty}$: semiinfinite construction of representations
Solitons and infinite dimensional Lie algebras
New quantum toroidal algebras from 5D $\mathcal{N} = 1$ instantons on orbifolds
Vertex operators, symmetric functions, and the spin group $\Gamma_ n$
Topological strings and integrable hierarchies
DKP and MDKP hierarchy of soliton equations
Vertex operator representation of some quantum tori Lie algebras
Quasifinite representations of classical Lie subalgebras of ${\mathcal W}_{1+\infty}$
Dynamical systems on quantum tori Lie algebras
Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
Generalization of Drinfeld quantum affine algebras
$(p,q)$-webs of DIM representations, 5d $\;\mathcal{N}=1 $ instanton partition functions and qq-characters
Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver
A note on the algebraic engineering of 4D $\mathcal{N} = 2$ super Yang-Mills theories
$(q, t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
${\mathcal W}_{1+\infty}$ and ${\mathcal W}(gl_ N)$ with central charge $N$
Representation theory of the vertex algebra $W_{1+\infty}$
Changing the preferred direction of the refined topological vertex
Generalized Macdonald functions on Fock tensor spaces and duality formula for changing preferred direction
Web construction of ABCDEFG and affine quiver gauge theories
Quantum algebraic approach to refined topological vertex
Fiber-base duality from the algebraic perspective
Melting crystal, quantum torus and Toda hierarchy
REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS
Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras
A (q,γ) analog of the W1+∞ algebra
A commutative algebra on degenerate CP1 and Macdonald polynomials
Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
Quiver varieties and finite dimensional representations of quantum affine algebras
Toda hierarchies and their applications
An elliptic topological vertex
A note on the S-dual basis in the free fermion system
Hall-Littlewood Plane Partitions and KP
Coherent states in quantum $\mathcal{W}_{1+\infty}$ algebra and qq-character for 5d super Yang–Mills
The second bosonization of the CKP hierarchy
Hall-Littlewood symmetric functions and the BKP equation

This page was built for publication: Quantum W1+∞ subalgebras of BCD type and symmetric polynomials