Results 61 to 70 of about 12,508,597 (366)
The Heisenberg product: from Hopf algebras and species to symmetric functions [PDF]
, 2015 Many related products and coproducts (e.g. Hadamard, Cauchy, Kronecker, induction, internal, external, Solomon, composition, Malvenuto–Reutenauer, convolution, etc.) have been defined in the following objects: species, representations of the symmetric ...
M. Aguiar +2 more
semanticscholar +1 more source
Noncommutative Symmetric Hall-Littlewood Polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis ...
Lenny Tevlin
doaj +1 more source
A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions
, 2013 We introduce a new basis of the non-commutative symmetric functions whose commutative images are Schur functions. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric functions and decompose
Berg, Chris +4 more
core +1 more source
, 2020 Hypergeometric functions and zonal polynomials are the tools usually addressed in the literature to deal with the expected value of the elementary symmetric functions in non-central Wishart latent roots.
Di Nardo, E.
core +1 more source
On Symmetric Functions and Symmetric Functions of Symmetric Functions
The Annals of Mathematical Statistics, 1931 The study of symmetric functions is quite an old one. From the time of Girard (1629) even up to the present day this sub. ject has occupied the attention of many eminent mathematicians. The theory of the roots of algebraic equations in one or more variables has furnished the chief incentive for the development of the theory of symmetric functions ...
openaire +2 more sources
Amplituhedron Cells and Stanley Symmetric Functions [PDF]
, 2014 The amplituhedron was recently introduced in the study of scattering amplitudes in $${N = 4}$$N=4 super Yang–Mills. We compute the cohomology class of a tree amplituhedron subvariety of the Grassmannian to be the truncation of an affine Stanley symmetric
T. Lam
semanticscholar +1 more source
Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Antipode formulas for some combinatorial Hopf algebras
, 2016 Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, Lam and Pylyavskyy studied six combinatorial Hopf algebras that can be thought of as K-theoretic analogues of the Hopf algebras of symmetric functions ...
Patrias, Rebecca
core +1 more source