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

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

5 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
מספר המאמר	P4.34
כתב עת	Electronic Journal of Combinatorics
כרך	21
מספר גיליון	4
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.37236/4396
סטטוס פרסום	פורסם - 13 נוב׳ 2014

גישה למסמך

10.37236/4396

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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",

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volume = "21",

journal = "Electronic Journal of Combinatorics",

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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

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DO - 10.37236/4396

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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

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