Some integral representations of complex reflection groups
โ Scribed by Walter Feit
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 156 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
In this paper, we prove that a simple system for a subsystem of the complex root system can always be chosen as a subset of the positive system + of . Furthermore, we show that a set of distinguished coset representatives can be found for every reflection subgroup of the complex reflection groups. T
We find all irreducible rank n complex reflection subgroups of finite irreducible rank 2 n real reflection groups.
Let p be any prime number, G be the cyclic group of order p 2 , and โณ [ RG be the group algebra of G over a Dedekind domain R such that pR is a maximal 2 ideal in R and both R T rโฝ T and R T rโฝ T are Dedekind domains also, ลฝ . where โฝ T is the nth cyclotomic polynomial. We shall provide a full lis