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math.CO2009★ 1 cited
Involutions of the Symmetric Group and Congruence B-orbits of Anti-Symmetric Matrices
Yonah Cherniavsky
We present the poset of Borel congruence classes of anti-symmetric matrices ordered by containment of closures. We show that there exists a bijection between the set of these class…
math.CO2005
Sign balance for finite groups of Lie type
Yona Cherniavsky, Eli Bagno
A product formula for the parity generating function of the number of 1's in invertible matrices over Z_2 is given. The computation is based on algebraic tools such as the Bruhat d…