Results 61 to 70 of about 104 (103)
Regular Schur labeled skew shape posets and their 0-Hecke modules
Forum of Mathematics, SigmaAssuming Stanley’s P-partitions conjecture holds, the regular Schur labeled skew shape posets are precisely the finite posets P with underlying set $\{1, 2, \ldots , |P|\}$ such that the P-partition generating function is symmetric and the set of ...
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
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Subspace profiles over finite fields and q-Whittaker expansions of symmetric functions
Forum of Mathematics, SigmaBender, Coley, Robbins, and Rumsey posed the problem of counting the number of subspaces which have a given profile with respect to a linear endomorphism defined on a finite vector space.
Samrith Ram
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An inverse Grassmannian Littlewood–Richardson rule and extensions
Forum of Mathematics, SigmaChow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
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Computing with rational symmetric functions and applications to invariant theory and PI-algebras [PDF]
, 2012 2010 Mathematics Subject Classification: 05A15, 05E05, 05E10, 13A50, 15A72, 16R10, 16R30, 20G05Let K be a field of any characteristic. Let the formal power series f(x1, ..., xd) = ∑ αnx1^n1 ··· xd^nd = ∑ m(λ)Sλ(x1, ..., xd), αn, m(λ) ∈ K, be a ...
Drensky, V +14 more
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A geometric realization of partially-symmetric Macdonald polynomials
We formulate a precise conjecture relating integral form partially-symmetric Macdonald polynomials and the parabolic flag Hilbert schemes of Carlsson, Gorsky, and Mellit.
Daniel Orr, Ben Goodberry
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Quantum K theory of Grassmannians, Wilson line operators and Schur bundles
Forum of Mathematics, SigmaWe prove a ‘Whitney’ presentation, and a ‘Coulomb branch’ presentation, for the torus equivariant quantum K theory of the Grassmann manifold $\mathrm {Gr}(k;n)$ , inspired from physics, and stated in an earlier paper.
Wei Gu +3 more
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Random Fibonacci Words via Clone Schur Functions
Forum of Mathematics, SigmaWe investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
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Generalizations of two identities of Guo and Yang
, 2018 In this paper, we provide generalizations of two identities of Guo and Yang [2] for the q-binomial coefficients. This approach allows us to derive new convolution identities for the complete and elementary symmetric functions.
Merca, Mircea
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Matrix Whittaker processes. [PDF]
Probab Theory Relat Fields, 2023 Arista J, Bisi E, O'Connell N.
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All Kronecker coefficients are reduced Kronecker coefficients
Forum of Mathematics, PiWe settle the question of where exactly do the reduced Kronecker coefficients lie on the spectrum between the Littlewood-Richardson and Kronecker coefficients by showing that every Kronecker coefficient of the symmetric group is equal to a reduced ...
Christian Ikenmeyer, Greta Panova
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