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Representation Theory of Algebraic Groups and Quantum Groups pp 33–54Cite as

On Domino Insertion and Kazhdan–Lusztig Cells in Type B n

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Part of the book series: Progress in Mathematics ((PM,volume 284))

Abstract

Based on empirical evidence obtained using the CHEVIE computer algebra system, we present a series of conjectures concerning the combinatorial description of the Kazhdan–Lusztig cells for type B n with unequal parameters. These conjectures form a far-reaching extension of the results of Bonnafé and Iancu obtained earlier in the so-called asymptotic case. We give some partial results in support of our conjectures.

Mathematics Subject Classifications (2000): Primary 20C08, Secondary 05E10

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Author information

Authors and Affiliations

  1. Institute of Mathematics, King’s College, Aberdeen University, Aberdeen, AB24 3UE, Scotland, UK

    Meinolf Geck

Authors
  1. Cédric Bonnafé
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  2. Meinolf Geck
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  3. Lacrimioara Iancu
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  4. Thomas Lam
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Corresponding author

Correspondence to Meinolf Geck .

Editor information

Editors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

    Akihiko Gyoja

  2. Research Institute for Mathematical Scie, Kyoto University, Kyoto, 606-8502, Japan

    Hiraku Nakajima

  3. Faculty of Science and Technology, Sophia University, Department of Information and Communication Sciences -1, Tokyo, 102-8554, Japan

    Ken-ichi Shinoda

  4. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

    Toshiaki Shoji

  5. Graduate School of Science, Osaka City University, Department of Mathematics -3-138, Osaka, 558-8585, Japan

    Toshiyuki Tanisaki

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Bonnafé, C., Geck, M., Iancu, L., Lam, T. (2010). On Domino Insertion and Kazhdan–Lusztig Cells in Type B n . In: Gyoja, A., Nakajima, H., Shinoda, Ki., Shoji, T., Tanisaki, T. (eds) Representation Theory of Algebraic Groups and Quantum Groups. Progress in Mathematics, vol 284. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4697-4_3

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