Abstract
A new 3-parameter family of homogeneous 2-by-2 block shifts is described. These are the first examples of irreducible homogeneous bilateral block shifts of block size larger than 1.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bagchi B and Misra G, The homogeneous shifts, J. Funct. Anal. 204 (2003) 293–319
Bagchi B and Misra G, Homogeneous operators and projective representations of the Möbius group: a survey, Proc. Ind. Acad. Sci. (Math. Sci.) 111 (2001) 415–437
Korányi A andMisra G, A classification of homogeneous operators in the Cowen–Douglas class, Adv. Math. 226 (2011) 5538–5560
Prasad A and Vemuri M, Inductive algebras and homogeneous shifts, Compl. Anal. Oper. Theory 4 (2010) 1015–1027
Pukánszky L, The Plancherel formula for the universal covering group of SL(2, R), Math. Ann. 156 (1964) 96–143
Acknowledgment
This work is partially supported by the NSF and by a PSC-CUNY grant.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
KORÁNYI, A. Homogeneous bilateral block shifts. Proc Math Sci 124, 225–233 (2014). https://doi.org/10.1007/s12044-014-0171-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12044-014-0171-x