chessboard complexes
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2017 ◽  
Vol 46 (1) ◽  
pp. 15-31 ◽  
Author(s):  
Duško Jojić ◽  
Siniša T. Vrećica ◽  
Rade T. Živaljević
Keyword(s):  


2017 ◽  
Vol 145 ◽  
pp. 400-425
Author(s):  
Duško Jojić ◽  
Siniša T. Vrećica ◽  
Rade T. Živaljević
Keyword(s):  


2011 ◽  
Vol 118 (7) ◽  
pp. 2157-2166 ◽  
Author(s):  
Siniša T. Vrećica ◽  
Rade T. Živaljević
Keyword(s):  


2009 ◽  
Vol 30 (2) ◽  
pp. 542-554 ◽  
Author(s):  
Siniša T. Vrećica ◽  
Rade T. Živaljević
Keyword(s):  


2004 ◽  
Vol 31 (3) ◽  
pp. 395-403 ◽  
Author(s):  
Christos A. Athanasiadis
Keyword(s):  


2004 ◽  
Vol Vol. 6 no. 2 ◽  
Author(s):  
Eric Babson ◽  
Victor Reiner

International audience Motivated by the Coxeter complex associated to a Coxeter system (W,S), we introduce a simplicial regular cell complex Δ (G,S) with a G-action associated to any pair (G,S) where G is a group and S is a finite set of generators for G which is minimal with respect to inclusion. We examine the topology of Δ (G,S), and in particular the representations of G on its homology groups. We look closely at the case of the symmetric group S_n minimally generated by (not necessarily adjacent) transpositions, and their type-selected subcomplexes. These include not only the Coxeter complexes of type A, but also the well-studied chessboard complexes.



1994 ◽  
Vol 49 (1) ◽  
pp. 25-39 ◽  
Author(s):  
A. Björner ◽  
L. Lovász ◽  
S. T. Vrećica ◽  
R. T. Živaljević
Keyword(s):  


1994 ◽  
Vol 87 (1-3) ◽  
pp. 97-110 ◽  
Author(s):  
Günter M. Ziegler
Keyword(s):  


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