𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Profinite quantum groups

✍ Scribed by Chi–Keung Ng

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
344 KB
Volume
254-255
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we study a special class of compact quantum groups, namely, the profinite quantum groups.

📜 SIMILAR VOLUMES

Adelic Profinite Groups
Adelic Profinite Groups
✍ V.P. Platonov; B. Sury 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 164 KB
A Cohomological Transfer Map for Profini
A Cohomological Transfer Map for Profinite Groups
✍ Oliver Schirokauer 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 251 KB

Let G be a group, A a G-module, and H a subgroup of G. The standard Ž . Ž . cohomological transfer map from H \* H, A to H \* G, A is defined in the case that H is of finite index in G and is given explicitly in each dimension by a formula involving a sum over a set of representives for H \_ G. In t

On the Profinite Topology on Negatively
On the Profinite Topology on Negatively Curved Groups
✍ Rita Gitik 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 67 KB

Let H and K be quasiconvex subgroups of a negatively curved locally extended Ž . residually finite LERF group G. It is shown that if H is malnormal in G, then the double coset KH is closed in the profinite topology of G. In particular, this is true if G is the fundamental group of an atoroidal LERF

A Note on Rationality of Representations
A Note on Rationality of Representations of Profinite Groups
✍ Hans Opolka 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 145 KB

Let G G be a profinite group. The purpose of this note is to construct subfields F of the field of complex numbers over which a given finite dimensional complex continuous linear representation D of G G is realizable in the following sense: There is a one-dimensional representation of G G such that

Quantum Groups and Quantum Semigroups
Quantum Groups and Quantum Semigroups
✍ Takahiro Hayashi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 358 KB

We construct a functor from a certain category of quantum semigroups to a Ž Ž .. category of quantum groups, which, for example, assigns Fun Mat N to q Ž Ž .. Ž . Fun GL N . Combining with a generalization of the Faddeev᎐ q Reshetikhin᎐Takhtadzhyan construction, we obtain quantum groups with univers