Skip to Main Content

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.

 

Some closed formulas for canonical bases of Fock spaces
HTML articles powered by AMS MathViewer

by Bernard Leclerc and Hyohe Miyachi
Represent. Theory 6 (2002), 290-312
DOI: https://doi.org/10.1090/S1088-4165-02-00136-X
Published electronically: September 19, 2002

Abstract:

We give some closed formulas for certain vectors of the canonical bases of the Fock space representation of $U_v(\mathfrak {sl}_n)$. As a result, a combinatorial description of certain parabolic Kazhdan-Lusztig polynomials for affine type $A$ is obtained.
References
Similar Articles
Bibliographic Information
  • Bernard Leclerc
  • Affiliation: Département de Mathématiques, Université de Caen, Campus II, Bld Maréchal Juin, BP 5186, 14032 Caen Cedex, France
  • MR Author ID: 327337
  • Email: leclerc@math.unicaen.fr
  • Hyohe Miyachi
  • Affiliation: Department of Mathematics, Graduate School of Science and Technology, Chiba University, Yayoi-cho, Chiba 263-8522, Japan
  • Address at time of publication: IHES, Le Bois-Marie, 35, route de Chartres, F-91440 Bures-sur-Yvette, France
  • MR Author ID: 649846
  • Email: miyachi@ihes.fr; mihachi_hyohe@ma.noda.tus.ac.jp
  • Received by editor(s): September 6, 2001
  • Received by editor(s) in revised form: June 19, 2002
  • Published electronically: September 19, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Represent. Theory 6 (2002), 290-312
  • MSC (2000): Primary 17B37, 05E05, 05E10, 20C20, 20C33
  • DOI: https://doi.org/10.1090/S1088-4165-02-00136-X
  • MathSciNet review: 1927956