Yasushi Ikeda

Articles (peer-reviewed)

• On the quantum argument shift method, Yasushi Ikeda, Alexander Molev, and Georgy Sharygin
• Квантовые сдвиги аргумента второго порядка в Ugl_d, Yasushi Ikeda
• Second-order quantum argument shifts in Ugl_d, Yasushi Ikeda
• Quantum derivation and Mishchenko-Fomenko construction, Yasushi Ikeda
• The argument shift method in universal enveloping algebra Ugl_d, Yasushi Ikeda and Georgy Sharygin
• Квазидифференциальный оператор и квантовый метод сдвига инвариантов, Yasushi Ikeda
• Quasidifferential operator and quantum argument shift method, Yasushi Ikeda

Preprints

• On the combinatorial core of second-order quantum argument shifts in Ugl_d, Yasushi Ikeda
• Quantum analog of Mishchenko-Fomenko theorem for Ugl_d, Yasushi Ikeda

Mathematical Documents

• Lie Theory
• Schouten–Nijenhuis Bracket
• Tensor Products
• Differential Equations
• Tomita's Theorem
• Unbounded Operators
• Functional Analysis
• Real Analysis

Conferences

• Constructing quantum argument-shift algebras via quantized shift operators, September 22, 2025, MATRIX–AMSI PhD Student Symposium: Integrable Systems with respect to Geometry and Quantum Mechanics
• Quantum argument shift method for the universal enveloping algebra Ugl_n, July 10, 2025, The XXIXth International Conference on Integrable Systems and Quantum Symmetries
• Quantum argument shift method for the universal enveloping algebra Ugl_n, July 4, 2025, XLII Workshop on Geometric Methods in Physics
• Quantum partial derivatives and argument shift method, November 10, 2024, 4th Workshop on Quantum Information and Foundation of Quantum Mechanics
• Quantum analog of Mishchenko-Fomenko theorem for Ugl_d (with Georgy Sharygin), March 13, 2024, Noncommutative Integrable Systems
• Quantum analog of Mishchenko-Fomenko theorem for Ugl_d, March 4, 2024, The 20th Mathematics Conference for Young Researchers
• Quantum derivation and Mishchenko-Fomenko construction, July 28, 2023, XII. International Symposium on Quantum Theory and Symmetries
• Quantum derivation and Mishchenko-Fomenko construction, July 6, 2023, XL Workshop on Geometric Methods in Physics

Seminars

• Quantum argument shifts in general linear Lie algebras, November 20, 2024
• Quantum argument shifts in general linear Lie algebras, October 16, 2024
• Second order quantum argument shifts in general linear Lie algebras, December 5, 2023
• Commutativity of the second order quasi-derivatives of the central elements of Ugl_n, September 27, 2022
• Операторы квазидифференцирования на Ugln и метод сдвига аргумента (with Georgy Sharygin), September 29, 2021
• Quasi-differentiation of central elements of the universal enveloping algebra Ugl_n, June 12, 2021
• A new method producing argument shift algebra for small dimension (with Georgy Sharygin), April 29, 2021