# Intertwiner in german?

What is the best way to translate the mathematical term ''intertwiner'' (between two representations of a group) into German?

-
– NikolajK Jul 18 '12 at 14:03
Which horrible university forces you to give lectures in German ;) Anyway, naively I would try to take any translation of entwine and incorporate inter – Simon Markett Jul 18 '12 at 14:06
Taking J.S. Milne's 11th tip one step further? :-) – Asaf Karagila Jul 18 '12 at 14:08
@SimonMarkett: I'd guess an university in Germany (or another country where German is the native language). You generally expect lectures to be given in the native language, don't you? – celtschk Jul 18 '12 at 14:18
@AsafKaragila: I have people complaining about german being hard to learn and listen to at least 3 times a week, so it's not really funny. (Unless you're Mark Twain.) – NikolajK Jul 18 '12 at 14:41

Excuse me if mine is a very low-brow approach.

Let us look at the English Wikipedia page Equivariant Maps (cf. here), where there is the definition of Interwiners, as a special kind of equivariant maps.
Then let us switch to the German version, and we find that, in the same context, it is employed just the term äquivarianten Abbildung.

I hope it helps. Bye.

Edit Added because the OP need not only tranlations but references to actual usage.
In the German literature you'll find it also in the abbreviated form $G$-Abbildung as for example here in Tammo Von Dieck's Topologie,
(In order to overcome the difficulties you report in comments, here is the exact physical reference: Chapter I, Section 10, second paragraph on page 41.)

-
I had done just that before posting the question, but I would have liked to have a single word translation rather than 9 syllables. - Would the term ''äquivariante Abbildung'' also be appropriate for intertwiners between representations of an algebra? – Arnold Neumaier Jul 18 '12 at 14:09
@ArnoldNeumaier I have added a reference using just G-Abbildung. – Giuseppe Jul 20 '12 at 17:16
google books says that it is not avialable to me for viewing. Could you please give the page number? – Arnold Neumaier Jul 21 '12 at 20:07
From Google Books (to me the page was displayed): 40 41 42 – Martin Sleziak Jul 25 '12 at 14:03

My old Technik-Wörterbuch (1982) directs me from intertwine to interlace, which it translates by verschlingen (Verschlingung, verschlungener Zyklus), which I think sounds right. These words are marked as topological terms, though, so you will have to consider if they are suitable in an algebraic context.

-
It is not enough to find possible translations; since the concept is old one also needs references for actual usage in this context. (Verschlingung sounds more like braiding, which has a very different meaning in group theory.) – Arnold Neumaier Jul 18 '12 at 16:40

The link http://mathoverflow.net/questions/46061/what-is-the-german-translation-for-intertwiner provided by Nick Kidman was quite useful. I found two old German papers by authorities in group theory