Results 41 to 50 of about 74 (74)

Infinite friezes of affine type D

In this article, we study infinite friezes arising from cluster categories of affine type \(D\) and determine the growth coefficients for these friezes. We prove that for each affine type \(D\), the friezes given by the non-homogeneous tubes all have the
Emine Yldrm, Karin Baur, Emily Gunawan, Gordana Todorov, Léa Bittmann   +4 more
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Asymmetric equilibria in dynamic two-sided matching markets with independent preferences

, 2008
Mutual mate choice, Strategic mating, Independent preferences, Equilibrium, Multiple equilibria, Asymmetric equilibria, Primary: 06A07, Secondary: 05E10,
Eriksson, Kimmo,, Eriksson, Kimmo, Strimling, Pontus, Sjöstrand, Jonas,, Strimling, Pontus,   +4 more
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Bounded Littlewood identity related to alternating sign matrices

Forum of Mathematics, Sigma
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
doaj   +1 more source

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, Koev, Plamen, Francesca Benanti, BENANTI, Francesca Saviella, Koev, P, Vesselin Drensky, Boumova, S, Boumova, Silvia, Genov, G, K. Genov, Georgi, Benanti, Francesca, Silvia Boumova, Georgi K. Genov, Plamen Koev, Drensky, Vesselin   +14 more
core  

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
core   +1 more source

Towards plethystic \(\mathfrak{sl}_2\) crystals

To find crystals of \(\mathfrak{sl}_2\) representations of the form \(\Lambda^n\operatorname{Sym}^r\mathbb{C}^2\) it suffices to solve the combinatorial problem of decomposing the Young lattice into symmetric, saturated chains.
Álvaro Gutiérrez
core   +1 more source

Anti-Citrullinated Protein Antibody Reactivity towards Neutrophil-Derived Antigens: Clonal Diversity and Inter-Individual Variation. [PDF]

Biomolecules, 2023
Cîrciumaru A, Afonso MG, Wähämaa H, Krishnamurthy A, Hansson M, Mathsson-Alm L, Keszei M, Stålesen R, Ottosson L, de Vries C, Shelef MA, Malmström V, Klareskog L, Catrina AI, Grönwall C, Hensvold A, Réthi B.   +16 more
europepmc   +1 more source

Pan-sarbecovirus prophylaxis with human anti-ACE2 monoclonal antibodies. [PDF]

Nat Microbiol, 2023
Zhang F, Jenkins J, de Carvalho RVH, Nakandakari-Higa S, Chen T, Abernathy ME, Baharani VA, Nyakatura EK, Andrew D, Lebedeva IV, Lorenz IC, Hoffmann HH, Rice CM, Victora GD, Barnes CO, Hatziioannou T, Bieniasz PD.   +16 more
europepmc   +1 more source

Poset polytopes and pipe dreams: types C and B

The first part of this paper concerns type C. We present new explicitly defined families of algebro-combinatorial structures of three kinds: combinatorial bases in representations, Newton-Okounkov bodies of flag varieties and toric degenerations of flag ...
Makhlin, Igor, Makedonskyi, Ievgen
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An analogue of Jeu de taquin for Littelmann's crystal paths

, 1998
Littelmann has given a combinatorial model for the characters of representations of semisimple Lie algebras, in terms of certain paths traced in the space of (rational) weights.
Marc A. A. Van Leeuwen
core