Journal of Nonlinear Mathematical Physics

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Volume 25, Issue 3, July 2018, Pages 485 - 496

The number of independent Traces and Supertraces on the Symplectic Reflection Algebra H1,η(Γ ≀ SN)

Authors
S.E. Konstein
I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical Institute, 53, Leninsky Prospect Moscow, 117924, Russia,konstein@lpi.ru
I.V. Tyutin
I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical Institute, 53, Leninsky Prospect, Moscow, 117924, Russia Tomsk State Pedagogical University, Kievskaya St. 60, 634061 Tomsk, Russia,tyutin@lpi.ru
Received 28 November 2017, Accepted 27 March 2018, Available Online 6 January 2021.
DOI
10.1080/14029251.2018.1494768How to use a DOI?
Abstract

Symplectic reflection algebra H1,η(G) has a T(G)-dimensional space of traces whereas, when considered as a superalgebra with a natural parity, it has an S(G)-dimensional space of supertraces. The values of T(G) and S(G) depend on the symplectic reflection group G and do not depend on the parameter η.

In this paper, the values T(G) and S(G) are explicitly calculated for the groups G = Γ ≀ SN, where Γ is a finite subgroup of Sp(2, ℂ).

Copyright
© 2018 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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 3
Pages
485 - 496
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2018.1494768How to use a DOI?
Copyright
© 2018 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/).

Cite this article

risenwbib
TY  - JOUR
AU  - S.E. Konstein
AU  - I.V. Tyutin
PY  - 2021
DA  - 2021/01/06
TI  - The number of independent Traces and Supertraces on the Symplectic Reflection Algebra H₁,η(Γ ≀ SN)
JO  - Journal of Nonlinear Mathematical Physics
SP  - 485
EP  - 496
VL  - 25
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2018.1494768
DO  - 10.1080/14029251.2018.1494768
ID  - Konstein2021
ER  -