Second-order quantum argument shifts in \(Ugl_d\)

DOI10.1134/s004057792408004xzbMATH Open1548.81127MaRDI QIDQ6632266

Yoichi Ikeda

Publication date: 4 November 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebradeformation quantizationuniversal enveloping algebraquantum argument shift method

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Deformation quantization, star products (53D55)

Cites Work

• Braided Weyl algebras and differential calculus on \(U(u(2))\)
• The argument shift method and the Gaudin model
• Quantization of the shift of argument subalgebras in type \(A\)
• Bethe subalgebras in twisted Yangians
• Gaudin models with irregular singularities
• On some commutative subalgebras of the universal enveloping algebra of the Lie algebra \({\mathfrak {gl}} (n,\mathbb{C})\)
• ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
• EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
• Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
• The argument shift method in universal enveloping algebra \(U \mathfrak{gl}_d\)
• Quasidifferential operator and quantum argument shift method

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