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Essential Dimension of Algebraic Groups and Integral Representations of Weyl Groups

✍ Scribed by N. Lemire


Publisher
SP Birkhäuser Verlag Boston
Year
2004
Tongue
English
Weight
413 KB
Volume
9
Category
Article
ISSN
1083-4362

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Kawanaka Invariants for Representations
✍ Akihiko Gyoja; Kyo Nishiyama; Kenji Taniguchi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 219 KB

Let W be a Weyl group and let V be the natural ‫ރ‬W-module, i.e., the reflection representation. For a complex irreducible character of W, we consider the invariant Ý wgW Ž . introduced by N. Kawanaka. We determine I ; q explicitly. Looking over these Ž . results, we observe a relation between Kawa