Principal realization of twisted Yangians Y(g_N)
Naihuan Jing, Ming Liu
TL;DR
This paper presents a new principal realization of twisted Yangians of orthogonal and symplectic types, utilizing discrete Fourier transforms over cyclic groups to interpret the bases.
Contribution
It introduces a novel basis construction for twisted Yangians using Fourier analysis, advancing the algebraic understanding of these structures.
Findings
New basis for twisted Yangians established
Fourier transform interpretation of bases provided
Enhanced algebraic framework for orthogonal and symplectic types
Abstract
We give the principal realization of the twisted Yangians of orthogonal and symplectic types. The new bases are interpreted in terms of discrete Fourier transform over the cyclic group Z_N.
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