𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized reflection groups II

✍ Scribed by François Zara

Book ID
104140383
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
199 KB
Volume
255
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Let (G, X) be a pair consisting of a group G and a generating set X of G. Let K be a commutative ring and let M be a KG-module. In this work, I try to answer the following question: "Is it possible to find a K-algebra L such that M is a LG-module and such that the elements of X act as reflections of M?" If X is a set of involutions and if a presentation of G is known, then I can answer the above question.

📜 SIMILAR VOLUMES

Generalized frobenius groups. II
Generalized frobenius groups. II
✍ David Chillag; Avinoam Mann; Carlo M. Scoppola 📂 Article 📅 1988 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 638 KB
On generalized Clifford groups II
On generalized Clifford groups II
✍ Jagannathan, R.; Ranganathan, N.R. 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 380 KB
Green functions associated to complex re
Green functions associated to complex reflection groups, II
✍ Toshiaki Shoji 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 319 KB

Green functions associated to complex reflection groups G(e, 1, n) were discussed in the author's previous paper. In this paper, we consider the case of complex reflection groups W = G(e, p, n). Schur functions and Hall-Littlewood functions associated to W are introduced, and Green functions are des