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Cohomological geometry of differential equations
November 20, 2024 16:00, Moscow, online, for the access link please contact seminar@gdeq.org
 


Quantum argument shifts in general linear Lie algebras

Ya. Ikeda
Video records:
MP4 362.3 Mb
Supplementary materials:
Adobe PDF 180.6 Kb

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Ya. Ikeda



Abstract: Argument shift algebras in S(g)S(g) (where gg is a Lie algebra) are Poisson commutative subalgebras (with respect to the Lie-Poisson bracket), generated by iterated argument shifts of Poisson central elements. Inspired by the quantum partial derivatives on U(gld)U(gld) proposed by Gurevich, Pyatov, and Saponov, I and Georgy Sharygin showed that the quantum argument shift algebras are generated by iterated quantum argument shifts of central elements in U(gld)U(gld). In this talk, I will introduce a formula for calculating iterated quantum argument shifts and generators of the quantum argument shift algebras up to the second order, recalling the main theorem.

Note the non-standard start time!

Supplementary materials: shifts_in_gld.pdf (180.6 Kb)

Language: English
 
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