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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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.


Spinoriality of orthogonal representations of reductive groups
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by Rohit Joshi and Steven Spallone PDF
Represent. Theory 24 (2020), 435-469 Request permission


Let $G$ be a connected reductive group over a field $F$ of characteristic $0$, and $\varphi : G \to \operatorname {SO}(V)$ an orthogonal representation over $F$. We give criteria to determine when $\varphi$ lifts to the double cover $\operatorname {Spin}(V)$.
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Additional Information
  • Rohit Joshi
  • Affiliation: Bhaskaracharya Pratishthana, 56/14, Erandavane, Damle Path, off Law College Road, Pune-411004, Maharashtra, India; and Indian Institute of Science Education and Research, Pune-411021, India
  • ORCID: 0000-0002-2471-2737
  • Email:,
  • Steven Spallone
  • Affiliation: Indian Institute of Science Education and Research, Pune-411021, India
  • MR Author ID: 824479
  • Email:
  • Received by editor(s): October 31, 2018
  • Received by editor(s) in revised form: February 21, 2020
  • Published electronically: September 16, 2020
  • Additional Notes: This paper comes out of the first author’s Ph.D. thesis at IISER Pune, during which he was supported by an Institute Fellowship. Afterwards he was supported by a fellowship from Bhaskaracharya Pratishthan.
  • © Copyright 2020 American Mathematical Society
  • Journal: Represent. Theory 24 (2020), 435-469
  • MSC (2010): Primary 20G15; Secondary 22E46
  • DOI:
  • MathSciNet review: 4150223