Bruhat order on partial fixed point free involutions

Mahir Bilen Can; Yonah Cherniavsky; Tim Twelbeck

doi:10.37236/4396

Bruhat order on partial fixed point free involutions

Mahir Bilen Can
, Yonah Cherniavsky
, Tim Twelbeck

Department of Mathematics

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

5 اقتباسات (Scopus)

ملخص

The order complex of inclusion poset PF_n of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that PF_n is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of PF_n is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.

اللغة الأصلية	الإنجليزيّة
رقم المقال	P4.34
دورية	Electronic Journal of Combinatorics
مستوى الصوت	21
رقم الإصدار	4
المعرِّفات الرقمية للأشياء	https://doi.org/10.37236/4396
حالة النشر	نُشِر - 13 نوفمبر 2014

الوصول إلى المستند

10.37236/4396

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

@article{20d46e90aac54a0eaa5947d1fb9c42ac,

title = "Bruhat order on partial fixed point free involutions",

abstract = "The order complex of inclusion poset PFn of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that PFn is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of PFn is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.",

keywords = "Bruhat-Chevalley order, EL-shellability, Partial fixed-point-free involutions, Rank generating function",

author = "Can, \{Mahir Bilen\} and Yonah Cherniavsky and Tim Twelbeck",

year = "2014",

month = nov,

day = "13",

doi = "10.37236/4396",

language = "אנגלית",

volume = "21",

journal = "Electronic Journal of Combinatorics",

issn = "1077-8926",

publisher = "Australian National University",

number = "4",

}

TY - JOUR

T1 - Bruhat order on partial fixed point free involutions

AU - Can, Mahir Bilen

AU - Cherniavsky, Yonah

AU - Twelbeck, Tim

PY - 2014/11/13

Y1 - 2014/11/13

N2 - The order complex of inclusion poset PFn of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that PFn is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of PFn is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.

AB - The order complex of inclusion poset PFn of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that PFn is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of PFn is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.

KW - Bruhat-Chevalley order

KW - EL-shellability

KW - Partial fixed-point-free involutions

KW - Rank generating function

UR - https://www.scopus.com/pages/publications/84938691916

U2 - 10.37236/4396

DO - 10.37236/4396

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84938691916

SN - 1077-8926

VL - 21

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

IS - 4

M1 - P4.34

ER -

Bruhat order on partial fixed point free involutions

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا