Gelfand-Tsetlin degeneration of shift of argument subalgebras in types B, C and D

DOI10.1007/S40598-019-00119-6zbMath1487.17033arXiv1807.11126OpenAlexW2970465547WikidataQ127330972 ScholiaQ127330972MaRDI QIDQ2302263

Leonid Rybnikov, Mikhail Zavalin

Publication date: 26 February 2020

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11126

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Poisson algebras (17B63)

Cites Work

• Unnamed Item
• The argument shift method and maximal commutative subalgebras of Poisson algebras
• Cones, crystals, and patterns
• Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
• On limits of Mishchenko-Fomenko subalgebras in Poisson algebras of semisimple Lie algebras
• Bethe subalgebras in twisted Yangians
• Crystals and monodromy of Bethe vectors
• Gelfand–Tsetlin Bases for Classical Lie Algebras
• Centralizers of certain quadratic elements in Poisson-Lie algebras and the method of translation of invariants
• Yangians and classical Lie algebras
• The maximality of certain commutative subalgebras in the Poisson algebra of a semisimple Lie algebra
• Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
• Lie Group Representations on Polynomial Rings
• Centralizer construction for twisted Yangians

This page was built for publication: Gelfand-Tsetlin degeneration of shift of argument subalgebras in types B, C and D