Talk:(B, N) pair

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 Field: Algebra

In the definition, what does, for example, the w in BwB mean when w is in N/H but not strictly in G? Presumably the w actually means here any element in the H-coset which w represents. Perhaps this should be stated in the article. DRLB (talk) 18:12, 12 August 2010 (UTC)

It seems to have the standard meaning of coset: w=nH, BwB = BnHB = BnB and wBw = nHBnH= nHBHn = nBn, so coset or coset representative makes no difference. I don't see any reason to complicate it by switching to a coset representative when the coset itself is fine. JackSchmidt (talk) 18:38, 12 August 2010 (UTC)
Yes, that makes sense. DRLB (talk) 18:58, 12 August 2010 (UTC)

Spelling, punctuation, ....[edit]

In this article I found

n-1

and changed it to:

n − 1

Someone had included the "1" in the italics; there was no proper spacing before and after the minus sign, and a hyphen was used instead of a minus sign. All three differences are conspicuous.

See WP:MOSMATH. Use of TeX in an inline setting doesn't work well in Wikipedia, so we try to match TeX style closely in these conventions. Michael Hardy (talk) 19:20, 2 April 2011 (UTC)

definitions in literature[edit]

Could an expert explain the connection between the definition of (B, N) pair on the page and the definition as in Paul Garrett's book (http://www.math.umn.edu/~garrett/m/buildings/), which is quite different? Thank you. — Preceding unsigned comment added by 202.40.139.167 (talk) 05:45, 14 January 2014 (UTC)