2-adic valuations of certain ratios of products of factorials and applications

DOI10.1016/j.laa.2007.04.008zbMath1173.11006arXivmath/0508498OpenAlexW2098809793MaRDI QIDQ996228

Christian Krattenthaler, Shmuel Friedland

Publication date: 13 September 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508498

zbMATH Keywords

2-adic valuations of ratio of products of factorialsparity of degrees of determinantal varietiesparity of number of plane partitionsparity of number of symplectic tableauxsubspaces of real rectangular matricessubspaces of real skew symmetric matrices

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of representation theory (05E10) Determinantal varieties (14M12) Hermitian, skew-Hermitian, and related matrices (15B57) Congruences; primitive roots; residue systems (11A07)

Related Items (5)

Spaces of real matrices of fixed small rank ⋮ On tensors of border rank \(l\) in \({\mathbb C}^{m\times n\times l}\) ⋮ On the generic and typical ranks of 3-tensors ⋮ The Hodge number \(h^{1,1}\) of irregular algebraic surfaces ⋮ Bases of spaces of matrices satisfying rank conditions

Cites Work

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• Chern numbers of kernel and cokernel bundles. Appendix to On the Kodaira dimension of the moduli space of curves. II. The even-genus case by J. Harris
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• Generalizations of the odd degree theorem and applications
• \((-1)\)-enumeration of self-complementary plane partitions
• On spaces of matrices containing a nonzero matrix of bounded rank.
• Standard Young tableaux and weight multiplicities of the classical Lie groups
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• On the crossing rule
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