Results 31 to 40 of about 901 (42)

Relating Signed Kazhdan-Lusztig Polynomials and Classical Kazhdan-Lusztig Polynomials

, 2012
Motivated by studying the Unitary Dual Problem, a variation of Kazhdan-Lusztig polynomials was defined in [Yee08] which encodes signature information at each level of the Jantzen filtration.
Yee, Wai Ling
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Equivariant Ehrhart theory of hypersimplices

Forum of Mathematics, Sigma
We study the hypersimplex under the action of the symmetric group $S_n$ by coordinate permutation. We prove that its equivariant volume, given by the evaluation of its equivariant $H^*$ -series at $1$ , is the permutation character of ...
Oliver Clarke, Max Kölbl
doaj   +1 more source

Kronecker Coefficients For Some Near-Rectangular Partitions [PDF]

, 2014
We give formulae for computing Kronecker coefficients occurring in the expansion of $s_{\mu}*s_{\nu}$, where both $\mu$ and $\nu$ are nearly rectangular, and have smallest parts equal to either 1 or 2.
Tewari, Vasu V.
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On the Spectrum of the Derangement Graph [PDF]

, 2007
We derive several interesting formulae for the eigenvalues of the derangement graph and use them to settle affirmatively a conjecture of Ku regarding the least ...
Renteln, Paul
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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

Polar Root Polytopes that are Zonotopes

, 2015
Let $\mathcal P_{\Phi}$ be the root polytope of a finite irreducible crystallographic root system $\Phi$, i.e., the convex hull of all roots in $\Phi$. The polar of $\mathcal P_{\Phi}$, denoted $\mathcal P_{\Phi}^*$, coincides with the union of the orbit
Cellini, Paola, Marietti, Mario
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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

Stanley character polynomials

, 2014
Stanley considered suitably normalized characters of the symmetric groups on Young diagrams having a special geometric form, namely multirectangular Young diagrams.
Śniady, Piotr
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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

An instance of umbral methods in representation theory: the parking function module

, 2008
We test the umbral methods introduced by Rota and Taylor within the theory of representation of symmetric group. We define a simple bijection between the set of all parking functions of length $n$ and the set of all noncrossing partitions of $\{1,2,...,n\
Petrullo, P., Senato, D.
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