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ROOK PLACEMENTS AND CLASSIFICATION OF PARTITION VARIETIES B\ Mλ

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Publication:4539761
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DOI10.1142/S0219199701000469zbMath0997.05096OpenAlexW2088236854MaRDI QIDQ4539761

Kequan Ding

Publication date: 10 July 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199701000469


zbMATH Keywords

partitioncomplex matricesrook placementsFerrers boardhomology and cohomology groups


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Homogeneous spaces and generalizations (14M17)


Related Items (4)

Rook poset equivalence of Ferrers boards ⋮ Presenting the cohomology of a Schubert variety: Proof of the minimality conjecture ⋮ Matrix Schubert varieties and Gaussian conditional independence models ⋮ Presenting the cohomology of a Schubert variety



Cites Work

  • The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
  • Q-counting rook configurations and a formula of Frobenius
  • Rook placements and cellular decomposition of partition varieties
  • Invisible permutations and rook placements on a Ferrers board
  • On Garsia-Remmel problem of rook equivalence


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