Volume 27, Issue 1, October 2019, Pages 7 - 11
Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models
Corresponding Authors
S.E. Konstein, I.V. Tyutin
Received 19 August 2019, Accepted 30 August 2019, Available Online 25 October 2019.
- DOI
- 10.1080/14029251.2020.1684005How to use a DOI?
- Abstract
If G is a finite Coxeter group, then symplectic reflection algebra H := H1,Ξ· (G) has Lie algebra π°π©2 of inner derivations and can be decomposed under spin: H = H0 β H1/2 β H1 β H3/2 β ... We show that if the ideals βi (i = 1,2) of all the vectors from the kernel of degenerate bilinear forms Bi(x,y) := spi(x Β· y), where spi are (super)traces on H, do exist, then β1 = β2 if and only if β1 β© H0 = β2 β©H0.
- Copyright
- Β© 2020 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - S.E. Konstein AU - I.V. Tyutin PY - 2019 DA - 2019/10/25 TI - Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models JO - Journal of Nonlinear Mathematical Physics SP - 7 EP - 11 VL - 27 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1684005 DO - 10.1080/14029251.2020.1684005 ID - Konstein2019 ER -