@article{3dd4f717792d441e854eb33bc2c3a13f,
title = "Gelfand criterion and multiplicity one results for GL n over finite chain rings",
abstract = "We study the Whittaker space of GL n(O/ (ϖℓ)) where ℓ≥ 1 , O is the ring of integers of a non-Archimedean local field and ϖ is a uniformizer of O. By using Gelfand criterion, we prove that the Whittaker space is multiplicity free for n= 2 , 3. We also state a few related open questions.",
keywords = "Gelfand criterion, Gelfand–Graev model, Multiplicity one, Whittaker space",
author = "Patel, {Shiv Prakash} and Pooja Singla",
note = "Funding Information: Both the authors warmly thank IISc, Bangalore, where most of this work was completed. SPP acknowledges the support provided by the Inspire Faculty Award [IFA17-MA102], DST, Government of India. PS acknowledges the support of the UGC CAS-II grant (Grant No. F.510/25/CAS-II/2018(SAP-I)) and the SERB MATRICS grant (MTR/2018/000094). The authors thank the anonymous referee for the careful reading and the comments that helped improve this article{\textquoteright}s presentation. Publisher Copyright: {\textcopyright} 2021, The Indian National Science Academy.",
year = "2021",
month = sep,
day = "1",
doi = "10.1007/s13226-021-00188-4",
language = "English",
volume = "52",
pages = "761--772",
journal = "Indian Journal of Pure and Applied Mathematics",
issn = "0019-5588",
publisher = "Indian National Science Academy",
number = "3",
}