Results 41 to 50 of about 2,635 (165)
Representation theory of 0-Hecke-Clifford algebras
, 2015 The representation theory of 0-Hecke-Clifford algebras as a degenerate case is not semisimple and also with rich combinatorial meaning. Bergeron et al. have proved that the Grothendieck ring of the category of finitely generated supermodules of 0-Hecke ...
Li, Yunnan
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Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2132-2154, July 2025.Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale +2 more
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The enriched $q$-monomial basis of the quasisymmetric functions [PDF]
, 2023 Darij Grinberg, Ekaterina A. Vassilieva
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From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
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Ecofriendly Printed Wood‐Based Honey‐Gated Transistors for Artificial Synapse Emulation
Advanced Intelligent Systems, Volume 7, Issue 2, February 2025.Sustainably printed transistors on wood substrates, using zinc oxide as an active layer and honey electrolyte, offer a promising ecofriendly approach to synaptic devices. Despite wood's roughness, these transistors show excellent performance with low on‐voltage and high Ion/Ioff. They exhibit dynamic responses to presynaptic pulses, enabling plasticity,
Douglas Henrique Vieira +6 more
wiley +1 more source
Power sum expansion of chromatic quasisymmetric functions [PDF]
, 2015 The chromatic quasisymmetric function of a graph was introduced by Shareshian and Wachs as a refinement of Stanley's chromatic symmetric function.
Athanasiadis, Christos A.
core
Coloring Complexes and Combinatorial Hopf Monoids
, 2021 We generalize the notion of coloring complex of a graph to linearized combinatorial Hopf monoids. These are a generalization of the notion of coloring complex of a graph. We determine when a combinatorial Hopf monoid has such a construction, and discover
White, Jacob
core
The Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by a conjecture concerning Igusa local zeta functions for intersection posets of hyperplane arrangements, we introduce and study the Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index, which generalizes both the ab$\mathbf {a}\mathbf {b}$‐index and the Poincaré polynomial.
Galen Dorpalen‐Barry +2 more
wiley +1 more source
The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley–Lieb algebras
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract Let Rn=Q[x1,x2,…,xn]$R_n=\mathbb {Q}[x_1,x_2,\ldots ,x_n]$ be the ring of polynomials in n$n$ variables and consider the ideal ⟨QSymn+⟩⊆Rn$\langle \mathrm{QSym}_{n}^{+}\rangle \subseteq R_n$ generated by quasisymmetric polynomials without constant term. It was shown by J. C. Aval, F. Bergeron, and N. Bergeron that dim(Rn/⟨QSymn+⟩)=Cn$\dim \big
Nantel Bergeron, Lucas Gagnon
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A graph polynomial from chromatic symmetric functions
Journal of Graph Theory, Volume 105, Issue 4, Page 633-651, April 2024.Abstract Many graph polynomials may be derived from the coefficients of the chromatic symmetric function X G ${X}_{G}$ of a graph G $G$ when expressed in different bases. For instance, the chromatic polynomial is obtained by mapping p n → x ${p}_{n}\to x$ for each n $n$ in this function, while a polynomial whose coefficients enumerate acyclic ...
William Chan, Logan Crew
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