REVIEW 6 cited by
Yangians and Classical Lie Algebras
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Yangians and Classical Lie Algebras
read the original 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.
Forward citations
Cited by 6 Pith papers
-
New Exotic Operators in the Spectrum of Wilson Lines in General Representations
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 ...
-
The quantum group structure of long-range integrable deformations
Long-range deformations of arbitrary homogeneous Yang-Baxter integrable spin chains are realized as twists of the quantum group, with the Drinfeld associator encoding the long-range interaction terms up to first order...
-
The quantum group structure of long-range integrable deformations
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...
-
Invariants of the extended twisted $h$-Yangian
The extended twisted h-Yangian is shown to carry restricted-module and φ-coordinated quasi-module structures that yield central elements, invariants, and commutative families in the orthogonal and symplectic h-Yangians.
-
Bethe Vectors in Quantum Integrable Models with Classical Symmetries
A unified RTT-based definition of off-shell Bethe vectors for gl_n, so(2n+1), sp(2n), and so(2n) integrable models, from which action formulas, recurrence relations, coproducts, and the on-shell eigenvector property a...
-
Quadratic Poisson brackets for the Camassa--Holm peakons
A quadratic Poisson bracket for generalized Camassa-Holm peakons is derived from a halved r-matrix, giving a bi-Hamiltonian structure and a new Ragnisco-Bruschi quadratic bracket.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.