| ISBN |
110849580X (hardcover)
|
| ISBN13桁 |
9781108495806 (hardcover)
|
| 無効なISBN等 |
9781108863117 (electronic book)
|
| テキストの言語 |
英語
|
| 分類：NDC10版 |
410.8
|
| 個人著者標目 |
Aguiar, Marcelo,
|
| 生没年等 |
1968-
|
| 本タイトル |
Bimonoids for hyperplane arrangements /
|
| 著者名 |
Marcelo Aguiar, Swapneel Mahajan.
|
| 出版地・頒布地 |
Cambridge, United Kingdom ;
|
| 出版者・頒布者名 |
Cambridge University Press,
|
| 出版年・頒布年 |
2020,
|
| 数量 |
xx, 832 pages :
|
| 他の形態的事項 |
illustrations ;
|
| 大きさ |
24 cm
|
| 書誌注記 |
Includes bibliographical references (pages 763-801) and index.
|
| 要約、抄録、注釈等 |
"The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce notions of monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement. They also construct universal bimonoids by using generalizations of the classical notions of shuffle and quasishuffle, and establish the Borel-Hopf, Poincar-̌Birkhoff-Witt, and Cartier-Milnor-Moore theorems in this setting. This monograph opens a vast new area of research. It will be of interest to students and researchers working in the areas of hyperplane arrangements, semigroup theory, Hopf algebras, algebraic Lie theory, operads, and category theory"--Back cover.
|
| 著者標目 |
Mahajan, Swapneel Arvind,
1974-
|
| 統一タイトル(シリーズ副出標目) |
Encyclopedia of mathematics and its applications ;
|
| シリーズの巻次 |
v. 173.
|
| シリーズ名・巻次 |
Encyclopedia of mathematics and its applications ; 173 |
| 一般件名 |
Hopf algebras.
Incidence algebras. |
| 資料情報1 |
『Bimonoids for hyperplane arrangements /』（Encyclopedia of mathematics and its applications ;
173） Marcelo Aguiar, Swapneel Mahajan. Cambridge University Press, 2020,
（所蔵館：中央
請求記号：F/410.8/E56/E1-173
資料コード：7113040152）
|
| URL |
https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352043360 |
