| Record ID | ia:coxetergroupshop0000agui |
| Source | Internet Archive |
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LEADER: 02743cam a22003854a 4500
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008 060315t20062006riua b 001 0 eng
010 $a 2006044456
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016 7 $a013490273$2Uk
020 $a0821839071 (alk. paper)
024 3 $a9780821839072
035 $a(OCoLC)ocm65165510
035 $a(NNC)5686187
035 $a5686187
040 $aDLC$cDLC$dC#P$dUKM$dOrLoB-B
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050 00 $aQA613.8$b.A384 2006
082 00 $a512/.55$222
100 1 $aAguiar, Marcelo,$d1968-$0http://id.loc.gov/authorities/names/nr97043402
245 10 $aCoxeter groups and Hopf algebras /$cMarcelo Aguiar, Swapneel Mahajan.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[2006], ©2006.
300 $axvi, 181 pages :$billustrations ;$c27 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aFields Institute monographs,$x1069-5273 ;$v23
504 $aIncludes bibliographical references (p. 165-169) and indexes.
505 00 $gCh. 1.$tCoxeter groups -- $gCh. 2.$tLeft regular bands -- $gCh. 3.$tHopf algebras -- $gCh. 4.$tA brief overview -- $gCh. 5.$tThe descent theory for Coxeter groups -- $gCh. 6.$tThe construction of Hopf algebras -- $gCh. 7.$tThe Hopf algebra of pairs of permutations -- $gCh. 8.$tThe Hopf algebra of pointed faces.
520 1 $a"An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary background ideas making this work accessible to advanced graduate students. The later chapters culminate in a unified and conceptual construction of several Hopf algebras based on combinatorial objects which emerge naturally from the geometric viewpoint. This work lays a foundation and provides new insights for further development of the subject."--BOOK JACKET.
650 0 $aHopf algebras.$0http://id.loc.gov/authorities/subjects/sh85061931
650 0 $aCoxeter groups.$0http://id.loc.gov/authorities/subjects/sh00000209
700 1 $aMahajan, Swapneel Arvind,$d1974-$0http://id.loc.gov/authorities/names/no2006057400
830 0 $aFields Institute monographs ;$v23.$0http://id.loc.gov/authorities/names/n93094774
852 00 $bmat$hQA613.8$i.A384 2006