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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.


Computation of Weyl groups of $G$-varieties
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by Ivan V. Losev
Represent. Theory 14 (2010), 9-69
Published electronically: January 5, 2010


Let $G$ be a connected reductive group. To any irreducible $G$-variety one assigns a certain linear group generated by reflections called the Weyl group. Weyl groups play an important role in the study of embeddings of homogeneous spaces. We establish algorithms for computing Weyl groups for homogeneous spaces and affine homogeneous vector bundles. For some special classes of $G$-varieties (affine homogeneous vector bundles of maximal rank, affine homogeneous spaces, homogeneous spaces of maximal rank with a discrete group of central automorphisms) we compute Weyl groups more or less explicitly.
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Bibliographic Information
  • Ivan V. Losev
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology. 77 Massachu- setts Avenue, Cambridge, Massachusetts 02139
  • MR Author ID: 775766
  • Email:
  • Received by editor(s): August 7, 2007
  • Published electronically: January 5, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 14 (2010), 9-69
  • MSC (2010): Primary 14M17, 14R20
  • DOI:
  • MathSciNet review: 2577655