Invariants for representations of Weyl groups and two-sided cells
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- GYOJA Akihiko
- Graduate School of Mathematics, Nagoya University
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- NISHIYAMA Kyo
- Faculty of Integrated Human Studies, Kyoto University
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- SHIMURA Hiroyuki
- Faculty of Science, Kyoto University
Bibliographic Information
- Other Title
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- Invariants for representation of Weyl groups and two-sided cells
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Abstract
The notion of two-sided cell, which was originally introduced by A. Joseph and reformulated by D. Kazhdan and G. Lusztig, has played an important role in the representation theory. Results concerning them have been obtained by very deep and sometimes ad hoc arguments. Here we introduce certain polynomial invariants for irreducible representations of Weyl groups. Our invariants are easily calculated, and the calculational results show that they almost determine the two-sided cells. Moreover, the factorization pattern of our polynomial invariants seems to be controlled by the natural parameter set \mathscr{M}(\mathscr{G}) of each two-sided cell.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 51 (1), 1-34, 1999
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680092783872
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- NII Article ID
- 10002151340
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 1661012
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- NDL BIB ID
- 4643240
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed