Results 61 to 70 of about 382 (159)

$q$-Coxeter matrix and $q$-Cartan matrix for a homogeneous bound quiver

, 2023
22 ...
openaire   +2 more sources

Generalisations of Capparelli's and Primc's identities, II: Perfect An−1(1)$A_{n-1}^{(1)}$ crystals and explicit character formulae

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley   +1 more source

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

String Functions for Affine Lie Algebras Integrable Modules

Symmetry, Integrability and Geometry: Methods and Applications, 2008
The recursion relations of branching coefficients kξ(μ) for a module Lg¯ hμ reduced to a Cartan subalgebra h are transformed in order to place the recursion shifts γ Î Γa Ì h into the fundamental Weyl chamber.
Petr Kulish, Vladimir Lyakhovsky
doaj   +1 more source

Towards the τ-function of the quantum groups

Physics Letters B
The theory of τ-functions is receiving attention, due to their appearance as non-perturbative partition functions of certain quantum field theories. These τ−functions satisfy Hirota’s bilinear identities (BI).
M. Chepurnoi, M. Sharov
doaj   +1 more source

The inverse of a real generalized Cartan matrix

, 2002
6 ...
openaire   +2 more sources

Operational Causality Without Definite Order: Certifying Indefinite Causal Structure via a Causal Inequality and Causal Witness

Quantum Reports
Quantum processes with indefinite causal order challenge the classical assumption that operations must occur in a single fixed temporal sequence. The quantum switch provides a concrete setting in which two operation orders, A≺B and B≺A, are coherently ...
Horace T. Crogman
doaj   +1 more source

Singular Hochschild complex and Cartan matrix

11 ...
Wang, Yu, Liang, Xiaozhuan
openaire   +2 more sources

The Cartan Matrix of a Brauer Configuration Algebra

, 2018
14 pages, 3 ...
openaire   +2 more sources

On the dimension of Lie algebras of infinitesimal affine transformations of direct products of more than two spaces of affine connection of the first type

Дифференциальная геометрия многообразий фигур
The theory of motions in generalized spaces is one of the directions in modern differential geometry. Such scientists as E. Cartan, P. K. Rashev­sky, P. A. Shirokov, I. P. Egorov, A.Ya. Sultanov and other scientists were engaged in the study of movements
Glebova M. V. , Sultanov A.Ya.
doaj   +1 more source