Sign balance for finite groups of Lie type

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dc.creatorCherniavsky, Yona
dc.creatorBagno, Eli
dc.date2005-02-22
dc.date.accessioned2026-07-07T05:17:22Z
dc.date.available2026-07-07T05:17:22Z
dc.descriptionA 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 decomposition. The same technique is used to obtain a parity generating function also for symplectic matrices over Z_2. We present also a generating function for the sum of entries of matrices over an arbitrary finite field F_q calculated in F_q. These formulas are new appearances of the Mahonian distribution.
dc.identifierhttps://arxiv.org/abs/math/0502463
dc.identifierhttp://arxiv.org/abs/math/0502463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74280
dc.subjectCombinatorics
dc.titleSign balance for finite groups of Lie type
dc.typetext

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