Yangian doubles of classical types and their vertex representations

JOURNAL OF MATHEMATICAL PHYSICS(2020)

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摘要
The Yangian double DY(gN) is introduced for the classical types of gN=o2n+1, sp2n, and o2n. Via the Gauss decomposition of the generator matrix, the Yangian double is given the Drinfeld presentation. In addition, bosonization of level 1 realizations for the Yangian double DY(gN) of non-simply laced types are explicitly constructed.
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