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Descents, peaks, and P-partitions.

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Petersen, T. Kyle.

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Descents, peaks, and P-partitions.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Descents, peaks, and P-partitions./
Author:	Petersen, T. Kyle.
Description:	100 p.
Notes:	Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0930.
Contained By:	Dissertation Abstracts International67-02B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3208219
ISBN:	9780542563188

Descents, peaks, and P-partitions.
Petersen, T. Kyle.

Descents, peaks, and P-partitions. - 100 p.

Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0930.

Thesis (Ph.D.)--Brandeis University, 2006.

We use a variation on Richard Stanley's P-partitions to study "Eulerian" descent subalgebras of the group algebra of the symmetric group and of the hyperoctahedral group. In each case we give explicit structure polynomials for orthogonal idempotents (including q-analogues in many cases). Much of the study of descents carries over similarly to the study of peaks, where we replace the use of Stanley's P-partitions with John Stembridge's enriched P-partitions.

ISBN: 9780542563188Subjects--Topical Terms:

515831
Mathematics.

Descents, peaks, and P-partitions.
LDR:01280nmm 2200265 4500 001 1832002
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008 130610s2006 eng d
020 $a 9780542563188
035 $a (UnM)AAI3208219
035 $a AAI3208219
040 $a UnM $c UnM
100 1 $a Petersen, T. Kyle. $3 1920759
245 1 0 $a Descents, peaks, and P-partitions.
300 $a 100 p.
500 $a Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0930.
500 $a Adviser: Ira M. Gessel.
502 $a Thesis (Ph.D.)--Brandeis University, 2006.
520 $a We use a variation on Richard Stanley's P-partitions to study "Eulerian" descent subalgebras of the group algebra of the symmetric group and of the hyperoctahedral group. In each case we give explicit structure polynomials for orthogonal idempotents (including q-analogues in many cases). Much of the study of descents carries over similarly to the study of peaks, where we replace the use of Stanley's P-partitions with John Stembridge's enriched P-partitions.
590 $a School code: 0021.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a Brandeis University. $3 1017415
773 0 $t Dissertation Abstracts International $g 67-02B.
790 1 0 $a Gessel, Ira M., $e advisor
790 $a 0021
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3208219

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