Results 41 to 50 of about 41,853 (190)
Integrable models and K-theoretic pushforward of Grothendieck classes
Nuclear Physics B, 2021 We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendieck classes by the K-theoretic pushforward from the Grothendieck group of ...
Kohei Motegi
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Super-Schur polynomials for Affine Super Yangian Y( gl ̂ $$ \hat{\mathfrak{gl}} $$ 1|1)
Journal of High Energy Physics, 2023 We explicitly construct cut-and-join operators and their eigenfunctions — the Super-Schur functions — for the case of the affine super-Yangian Y( gl ̂ $$ \hat{\mathfrak{gl}} $$ 1|1).
Dmitry Galakhov +2 more
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A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Nimmo, J.J.C., Orlov, A.Y.
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Symmetries of the k-bounded partition lattice [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We generalize the symmetry on Young's lattice, found by Suter, to a symmetry on the $k$-bounded partition lattice of Lapointe, Lascoux and Morse.
Chris Berg, Mike Zabrocki
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Quantum cohomology via vicious and osculating walkers [PDF]
, 2014 We relate the counting of rational curves intersecting Schubert varieties of the Grassmannian to the counting of certain non-intersecting lattice paths on the cylinder, so-called vicious and osculating walkers.
A. Bertram +21 more
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Interval positroid varieties and a deformation of the ring of symmetric functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Define the interval rank $r_[i,j] : Gr_k(\mathbb C^n) →\mathbb{N}$ of a k-plane V as the dimension of the orthogonal projection $π _[i,j](V)$ of V to the $(j-i+1)$-dimensional subspace that uses the coordinates $i,i+1,\ldots,j$.
Allen Knutson, Mathias Lederer
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A $t$-generalization for Schubert Representatives of the Affine Grassmannian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce two families of symmetric functions with an extra parameter $t$ that specialize to Schubert representatives for cohomology and homology of the affine Grassmannian when $t=1$.
Avinash J. Dalal, Jennifer Morse
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Affine charge and the $k$-bounded Pieri rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We provide a new description of the Pieri rule of the homology of the affine Grassmannian and an affineanalogue of the charge statistics in terms of bounded partitions.
Jennifer Morse, Anne Schilling
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Sorting probability for large Young diagrams
Discrete Analysis, 2021 Sorting probability for large Young diagrams, Discrete Analysis 2021:24, 57 pp. Let $P=(X,\leq_P)$ be a finite partially ordered set (or _poset_, for short). A _linear extension_ $L$ of $P$ is a total ordering $\leq_L$ on $X$ such that for every $x,y\in
Swee Hong Chan, Igor Pak, Greta Panova
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Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions [PDF]
, 2015 The dual stable Grothendieck polynomials are a deformation of the Schur functions, originating in the study of the K-theory of the Grassmannian. We generalize these polynomials by introducing a countable family of additional parameters, and we prove that
Galashin, Pavel +2 more
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