S. E. Konstein

activity

19962021

most citedCohomology of antiPoisson superalgebra

15 citations · 49 across the 14 of their papers we have counts for

collaborators

14 papers

hep-th2021

Ideals generated by traces in the symplectic reflection algebra $H_{1, ν_{1}, ν_{2}} (I_{2} (2 m))$ . II

I. A. Batalin, S. E. Konstein, I. V. Tyutin

The associative algebra of symplectic reflections $H := H_{1, ν_{1}, ν_{2}} (I_{2} (2 m))$ based on the group generated by the root system $I_{2} (2 m)$ has two parameters, $ν_{1}$ and $ν_…

math.RT2020

Ideals generated by traces or by supertraces in the symplectic reflection algebra $H_{1, ν} (I_{2} (2 m + 1))$ II

I. A. Batalin, S. E. Konstein, I. V. Tyutin

The algebra $H := H_{1, ν} (I_{2} (2 m + 1))$ of observables of the Calogero model based on the root system $I_{2} (2 m + 1)$ has an $m$ -dimensional space of traces and an $(m + 1)$ -dimens…

math-ph2019★ 2 cited

Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models

S. E. Konstein, I. V. Tyutin

If $G$ is a finite Coxeter group, then symplectic reflection algebra $H := H_{1, η} (G)$ has Lie algebra $sl_{2}$ of inner derivations and can be decomposed under spin: $H=H_…

math.RT2016★ 1 cited

Ideals generated by traces or by supertraces in the symplectic reflection algebra $H_{1, ν} (I_{2} (2 m + 1))$

S. E. Konstein, I. V. Tyutin

For each complex number $ν$ , an associative symplectic reflection algebra $H := H_{1, ν} (I_{2} (2 m + 1))$ , based on the group generated by root system $I_{2} (2 m + 1)$ , has an $m$ -dim…

math.RT2013★ 5 cited

The number of independent Traces and Supertraces on Symplectic Reflection Algebras

S. E. Konstein, I. V. Tyutin

It is shown that $A := H_{1, η} (G)$ , the Sympectic Reflection Algebra, has $T_{G}$ independent traces, where $T_{G}$ is the number of conjugacy classes of elements without eigenvalue 1 be…

math.RT2012★ 13 cited

Klein operator and the Numbers of independent Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System

S. E. Konstein, R. Stekolshchik

In the Coxeter group W(R) generated by the root system R, let T(R) be the number of conjugacy classes having no eigenvalue 1 and let S(R) be the number of conjugacy classes having…

Ideals generated by traces in the symplectic reflection algebra H1,ν1​,ν2​​(I2​(2m)). II

Ideals generated by traces or by supertraces in the symplectic reflection algebra H1,ν​(I2​(2m+1)) II

Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models

Ideals generated by traces or by supertraces in the symplectic reflection algebra H1,ν​(I2​(2m+1))

The number of independent Traces and Supertraces on Symplectic Reflection Algebras

Klein operator and the Numbers of independent Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System

Ideals generated by traces in the symplectic reflection algebra $H_{1, ν_{1}, ν_{2}} (I_{2} (2 m))$ . II

Ideals generated by traces or by supertraces in the symplectic reflection algebra $H_{1, ν} (I_{2} (2 m + 1))$ II

Ideals generated by traces or by supertraces in the symplectic reflection algebra $H_{1, ν} (I_{2} (2 m + 1))$