Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Homogeneous ideals in Wick $*$-algebras
HTML articles powered by AMS MathViewer

by Daniil Proskurin PDF
Proc. Amer. Math. Soc. 126 (1998), 3371-3376 Request permission

Abstract:

The necessary and sufficient condition for the family of homogeneous elements to determine a Wick ideal is presented. The structure of homogeneous Wick ideals with degree higher than 2 is discussed. For the braided operator $T$ a formula to calculate the largest cubic ideal when the quadratic one is known is obtained. Irreducible $*$-representations of the $\mu$-CAR algebra are classified.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 81R50, 47A62, 46L05
  • Retrieve articles in all journals with MSC (1991): 81R50, 47A62, 46L05
Additional Information
  • Daniil Proskurin
  • Email: prosk@imath.kiev.ua
  • Received by editor(s): November 21, 1996
  • Received by editor(s) in revised form: December 10, 1996
  • Additional Notes: This work was partially supported by the CRDF, grant no. 292
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3371-3376
  • MSC (1991): Primary 81R50, 47A62, 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-98-04305-6
  • MathSciNet review: 1443406