Yasushi Ikeda

collaborators

3 papers

math.QA2025

On the Combinatorial Core of Second-Order Quantum Argument Shifts in $U gl_{d}$

Yasushi Ikeda

We provide a complete, self-contained proof that reduces second-order generators of the quantum argument-shift algebra in the universal enveloping algebra $U gl_{d}$ . We pr…

math.RT2023

On the quantum argument shift method

Yasushi Ikeda, Alexander Molev, Georgy Sharygin

In a recent work by two of us the argument shift method was extended from the symmetric algebra $S (g)$ of the general linear Lie algebra $g$ to the un…

math.RT2023

The argument shift method in universal enveloping algebra $U gl_{d}$

Y. Ikeda, G. I. Sharygin

We prove the conjecture that allows one extend the argument shifting procedure from symmetric algebra $S gl_{d}$ of the Lie algebra $gl_{d}$ to the universal envel…

On the Combinatorial Core of Second-Order Quantum Argument Shifts in Ugld​

On the quantum argument shift method

The argument shift method in universal enveloping algebra Ugld​

On the Combinatorial Core of Second-Order Quantum Argument Shifts in $U gl_{d}$

The argument shift method in universal enveloping algebra $U gl_{d}$