Results 31 to 40 of about 11,601,754 (180)
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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, 1995 In this note we establish some characterizations of (single valued) functions, that assume values in a Banach space, generating K-Schur concave sums. Moreover we prove that a set-valued function is K-concave if and only of it is K-t-concave and K-quasi ...
CARDINALI, Tiziana
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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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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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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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Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications
Abstract and Applied Analysis, 2014 We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1 ...
Wen Wang, Shiguo Yang
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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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From quantum Schubert polynomials to $k$-Schur functions via the Toda lattice [PDF]
Mathematical Research Letters, 2012 We show that Lapointe-Lascoux-Morse k-Schur functions (at t=1) and Fomin-Gelfand-Postnikov quantum Schubert polynomials can be obtained from each other by a rational substitution. This is based upon Kostant's solution of the Toda lattice and Peterson's work on quantum Schubert calculus.
Lam, Thomas, Shimozono, Mark
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Catalan functions and 𝑘-Schur positivity
Journal of the American Mathematical Society, 2019 We prove that graded k k -Schur functions are
Blasiak, Jonah +3 more
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Schur function identities, their t-analogs, and k-Schur irreducibility
Advances in Mathematics, 2003 18 ...
Lapointe, Luc, Morse, Jennifer
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