1. 3D Bosons and W1+∞ algebra.
- Author
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Wang, Na and Wu, Ke
- Subjects
- *
BOSONS , *YANG-Baxter equation , *REPRESENTATIONS of algebras , *ALGEBRA - Abstract
In this paper, we consider 3D Young diagrams with at most N layers in z-axis direction, which can be constructed by N 2D Young diagrams on slice z = j, j = 1, 2, · · · , N from the Yang-Baxter equation. Using 2D Bosons {aj,m, m ∈ ℤ} associated to 2D Young diagrams on the slice z = j, we constructed 3D Bosons. Then we show the 3D Boson representation of W1+∞ algebra, and give the method to calculate the Littlewood-Richardson rule for 3-Jack polynomials. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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