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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.


Quasi-split symmetric pairs of $\mathrm {U}(\mathfrak {sl}_n)$ and Steinberg varieties of classical type
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by Yiqiang Li
Represent. Theory 25 (2021), 903-934
Published electronically: October 21, 2021


We provide a Lagrangian construction for the fixed-point subalgebra, together with its idempotent form, in a quasi-split symmetric pair of type $A_{n-1}$. This is obtained inside the limit of a projective system of Borel-Moore homologies of the Steinberg varieties of $n$-step isotropic flag varieties. Arising from the construction are a basis of homological origin for the idempotent form and a geometric realization of rational modules.
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Bibliographic Information
  • Yiqiang Li
  • Affiliation: Department of Mathematics, University at Buffalo, The State University of New York, 244 Mathematics Building, Buffalo, New York 14260
  • MR Author ID: 828279
  • ORCID: 0000-0003-4608-3465
  • Email:
  • Received by editor(s): January 17, 2020
  • Received by editor(s) in revised form: February 7, 2021
  • Published electronically: October 21, 2021
  • Additional Notes: This work was partially supported by the NSF grant DMS-1801915.
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 903-934
  • MSC (2020): Primary 17B35, 51N30
  • DOI:
  • MathSciNet review: 4329193