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Yangians and classical Lie algebras

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

We study in detail the structure of the Yangian Y(gl(N)) and of some new Yangian-type algebras called twisted Yangians. The algebra Y(gl(N)) is a `quantum' deformation of the universal enveloping algebra U(gl(N)[x]), where gl(N)[x] is the Lie algebra of gl(N)-valued polynomial functions. The twisted Yangians are quantized enveloping algebras of certain twisted Lie algebras of polynomial functions which are naturally associated to the B, C, and D series of the classical Lie algebras.

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The quantum group structure of long-range integrable deformations

math-ph · 2026-04-29 · unverdicted · novelty 7.0

Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.

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Showing 2 of 2 citing papers.

  • New Exotic Operators in the Spectrum of Wilson Lines in General Representations hep-th · 2026-06-05 · unverdicted · none · ref 57 · internal anchor

    New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.

  • The quantum group structure of long-range integrable deformations math-ph · 2026-04-29 · unverdicted · none · ref 70

    Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.