Let G be a finite group of complex n = n unitary matrices generated by reflections acting on β«ήβ¬ n . Let R be the ring of invariant polynomials, and let be a multiplicative character of G. Let β be the R-module of -invariant differential forms. We define a multiplication in β and show that under thi
Basic Invariants of Finite Reflection Groups
β Scribed by Katsunori Iwasaki
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 194 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Any finite reflection group G admits a distinguished basis of G-invariants canonically attached to a certain system of invariant differential equations. We determine it explicitly for groups of types A, B, D, and I in a systematic way.
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