Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

1 results

  • Chapter 1 - Hyperplane arrangements

  • from Part I - Species and operads
  • Marcelo Aguiar, Swapneel Mahajan
  • Book:
    Bimonoids for Hyperplane Arrangements
    Published online:
    28 February 2020
    Print publication:
    19 March 2020, pp 19-72

  • Summary

    This chapter reviews important notions and results on hyperplane arrangements required in the book. The discussion includes: 1) geometric objects such as faces, flats, bifaces, partial-flats, nested faces, lunes, bilunes, cones; 2) algebraic objects such as the Tits monoid, Birkhoff monoid, Janus monoid and their linearized algebras; Lie and Zie elements; 3) combinatorial objects such as distance functions and Varchenko matrices; descent, lune, Witt identities; incidence algebras, zeta and Möbius functions along with their noncommutative and two-sided analogues, the Zaslavsky formula and its noncommutative analogue.