9 citations · 9 across the 4 of their papers we have counts for
5 papers
Quantum Representation Theory and Manin matrices II: super case
Alexey Silantyev
We construct super-version of Quantum Representation Theory. The quadratic super-algebras and operations on them are described. We also describe some important monoidal functors. W…
Manin matrices of type C: multi-parametric deformation
A. Silantyev
We constructed a multi-parametric deformation of the Brauer algebra representation related with the symplectic Lie algebras. The notion of Manin matrix of type C was generalised to…
Quantum Representation Theory and Manin matrices I: finite-dimensional case
A. Silantyev
We construct Quantum Representation Theory which describes quantum analogue of representations in frame of "non-commutative linear geometry" developed by Manin. To do it we general…
KP hierarchy for the cyclic quiver
Oleg Chalykh, Alexey Silantyev
We introduce a generalisation of the KP hierarchy, closely related to the cyclic quiver and the Cherednik algebra . This hierarchy depends on parameters (one…
Transition function for the Toda chain model
A. Silantyev
The method of Lambda-operators developed by S. Derkachov, G. Korchemsky, A. Manashov is applied to a derivation of eigenfunctions for the open Toda chain. The Sklyanin measure is r…