Results 61 to 70 of about 2,177,540 (199)

Maximal rank root subsystems of hyperbolic root systems

, 2003
A Kac-Moody algebra is called hyperbolic if it corresponds to a generalized Cartan matrix of hyperbolic type. We study root subsystems of root systems of hyperbolic algebras.
Tumarkin, P.
core   +1 more source

FTheoryTools: Advancing Computational Capabilities for F‐Theory Research

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner   +2 more
wiley   +1 more source

Conserved charges and soliton solutions in affine Toda theory

, 1994
We study the conserved charges of affine Toda field theories by making use of the conformally invariant extension of these theories. We compute the values of all charges for the single soliton solutions, and show that these are related to eigenvectors of
Aratyn, Aratyn, Babelon, Babelon, Balog, Braden, Braden, Braden, Christe, Christe, Coleman, Constantinidis, Coxeter, Date, Dorey, Drinfeld, Freeman, Freund, Fring, Hollowood, Hollowood, Kac, Klassen, Kostant, Leznov, MacKay, MacKay, Michael Freeman, Niedermaier, Niedermaier, Olive, Olive, Olive, Wilson   +33 more
core   +1 more source

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley   +1 more source

Quantum affine Cartan matrices, Poincare series of binary polyhedral groups, and reflection representations

, 2005
We first review some invariant theoretic results about the finite subgroups of SU(2) in a quick algebraic way by using the McKay correspondence and quantum affine Cartan matrices.
A.J. Coleman, C. Chevalley, G. Gonzalez-Sprinberg, G. Lusztig, G.C. Shephard, H. Knörrer, J. McKay, J. McKay, K. Saito, L. Smith, M. Broué, R. Steinberg, Ruedi Suter, S. Berman, T.A. Springer, T.A. Springer   +15 more
core   +1 more source

A note on the quasi‐local algebra of expander graphs

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the quasi‐local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to ℓ∞$\ell _\infty$. Ozawa has recently shown that these algebras are distinct from the uniform Roe algebras of expander graphs, and our result describes a further difference.
Bruno M. Braga, Ján Špakula, Alessandro Vignati   +2 more
wiley   +1 more source

A braided Yang-Baxter Algebra in a Theory of two coupled Lattice Quantum KdV: algebraic properties and ABA representations

, 2001
A generalization of the Yang-Baxter algebra is found in quantizing the monodromy matrix of two (m)KdV equations discretized on a space lattice. This braided Yang-Baxter equation still ensures that the transfer matrix generates operators in involution ...
Baxter R J, Bazhanov V V, Bernard D, D Fioravanti, Drinfeld V G, Drinfeld V G, Drinfeld V G, Drinfeld V G, Faddeev L, Faddeev L, Faddeev L D, Faddeev L D, Faddeev L D, Feigin B, Feigin B, Feigin B L, Fioravanti D, Fioravanti D, Fioravanti D, Gelfand I M, Gervais J L, Hlavaty L, Itzykson C, Jimbo M, Korepin V E, Kundu A, Kundu A, Kupershmidt B A, Lax P, Lukyanov S, M Rossi, Miura R M, Polyakov A M, Reshetikhin N, Sasaki R, Sklyanin E K, Sklyanin E K, Smirnov F A, Yurov V P, Zamolodchikov A, Zamolodchikov A B   +40 more
core   +1 more source

Coxeter's enumeration of Coxeter groups

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

Periodicity Shadows II: Computational Aspects

Mathematics
This article is the second part of the research project initiated last year, in which we introduced and investigated so-called periodicity shadows, i.e.
Jerzy Białkowski, Adam Skowyrski
doaj   +1 more source

A theorem concerning Fourier transforms: A survey

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source