Talk:Weyl character formula

Clarification

In the formulas, what is $e^{whatever}$ ?

In the formula, what is l(w)? Thanks. 131.111.55.11 (talk) 21:03, 13 October 2010 (UTC) The Weyl group is generated by the 'simple' reflections corresponding to any base for the root system of the lie algebra, so l(w) is the 'length' of w in terms of the simple reflections: write w = w_1 w_2 .... w_k, where k is as small as possible (and all w_i reflections corresponding to simple roots), then l(w) = k. See, for example, Humphreys, Introduction to Lie Algebras and Representation Theory, 1987), pages 50 - 52 and pages 135-136. —Preceding unsigned comment added by Peter1729 (talk • contribs) 17:16, 21 November 2010 (UTC)

The original poster has right: the paragraph defines all symbols used in the formula, except the length function. I have added a short definition of the length function and am trying in the moment to link it to the appropriate section in the Weyl group article. Feel free to improve on my style/shorten it/etc. Tition1 (talk) 20:51, 6 December 2010 (UTC)

In the explanation of the symbols, shouldn't the $V$ be a $\pi$?Physchris (talk) 17:06, 25 October 2018 (UTC)

On the Harish chandra character formula

I erased the "the coefficients are of immense interest". I do not think this is a serious statement. I also think that the "still not understood" sentence is not encyclopedic. It would be much better if you added links to the articles in question in the "See also" or in the "References" section.Tition1 (talk) 14:25, 23 November 2010 (UTC)

"Weyl vector" is left undefined

The term "Weyl vector" in the article Leech lattice links to this article, which also uses the term "Weyl vector" — just once — but does not define it. I hope someone knowledgeable on the subject will fill in this gap.50.205.142.50 (talk) 18:00, 29 May 2020 (UTC)

Done, it's $\rho$. 2600:1700:FA10:75C0:A86E:73B9:8011:53B (talk) 07:57, 30 July 2020 (UTC)