Results 91 to 100 of about 8,473 (239)
Latent Complete-Lattice Structure of Hilbert-Space Projectors
Quanta, 2019 To uncover the hidden complete-lattice structure of Hilbert-space projectors, which is not seen by the operator operations and relations (algebraically), resort is taken to the ranges of projectors (to subspaces—to geometry).
Fedor Herbut
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Bijections and the Riordan group
Theoretical Computer Science, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Semigroup Forum, 1984 Conditions on a map \(f:L\to M\) from a lattice L to a lattice M are considered under which f is a homomorphism of lattices in the case when f is a bijection. The main result of the paper is the following Theorem 4. Let L and M be lattices and let f:\(L\to M\) be a bijection.
Johnson, J., Moss, K.
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A bijection proving orthogonality of the characters of Sn [PDF]
, 1983 Suppose ϱ and β are partitions of n. If ϱ ⋍ β, a bijection is given between positive pairs of rim hook tableaux of the same shape λ and content β and ϱ, respectively, and negative pairs of rim hook tableaux of some other shape μ and content β and ϱ ...
White, Dennis E
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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Bijections from Dyck and Motzkin meanders with catastrophes to pattern avoiding Dyck paths [PDF]
Discrete Mathematics Letters, 2021 Jean-Luc Baril, Sergey Kirgizov
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A Bijective Proof of Borchardt's Identity [PDF]
The Electronic Journal of Combinatorics, 2004 We prove Borchardt's identity $$\hbox{det}\left({1\over x_i-y_j}\right) \hbox{per}\left({1\over x_i-y_j}\right)= \hbox{det}\left({1\over(x_i-y_j)^2}\right)$$ by means of sign-reversing involutions.
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Type $D_n^{(1)}$ rigged configuration bijection
, 2016 We establish a bijection between the set of rigged configurations and the set of tensor products of Kirillov--Reshetikhin crystals of type $D^{(1)}_n$ in full generality. We prove the invariance of rigged configurations under the action
Scrimshaw, Travis +3 more
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A bijection for essentially 3-connected toroidal maps
, 2021 International audienceWe present a bijection for toroidal maps that are essentially 3-connected (3-connected in the periodic planar representation). Our construction actually proceeds on certain closely related bipartite toroidal maps with all faces of ...
Lévêque, Benjamin +2 more
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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