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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.


Bases in equivariant $K$-theory
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by G. Lusztig
Represent. Theory 2 (1998), 298-369
Published electronically: August 19, 1998


In this paper we construct a canonical basis for the equivariant $K$-theory of the flag manifold of a semisimple simply connected $\mathbf {C}$-algebraic group with respect to the action of a maximal torus times $\mathbf {C}^{*}$. We relate this basis to the canonical basis of the “periodic module” for the affine Hecke algebra. The construction admits a (conjectural) generalization to the case where the flag manifold is replaced by the zero set of a nilpotent vector field.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Received by editor(s): April 22, 1998
  • Received by editor(s) in revised form: June 16, 1998
  • Published electronically: August 19, 1998
  • Additional Notes: Supported in part by the National Science Foundation
  • © Copyright 1998 American Mathematical Society
  • Journal: Represent. Theory 2 (1998), 298-369
  • MSC (1991): Primary 20G99
  • DOI:
  • MathSciNet review: 1637973