Results 41 to 50 of about 381 (158)

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Quantum Inspired Universal Analog Computation Based on Circuits

Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.
We propose an analog scheme of classical circuit for universal quantum computation. The information is encoded using correlated electrical signals, and the number of the basic computing components employed in our circuit design is consistent with the number of the quantum gate in the quantum circuit.
Hanxu Zhang, Yifan Sun, Xiangdong Zhang
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

Certifying Anosov representations

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley   +1 more source

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

A new relation among Cartan matrix and Coxeter matrix

Journal of Algebra, 1987
The object of the paper is to show a relation between invariants of a root system R of type \(A_{\ell}\) (\(\ell odd)\), \(D_{\ell}, E_ 6, E_ 7\), or \(E_ 8\). On the one hand there are invariants p, q, r, and d associated to a Cartan matrix of R as follows.
openaire   +2 more sources

Cyclic homology and the determinant of the Cartan matrix

Journal of Pure and Applied Algebra, 1992
Let \(\Lambda = \bigoplus^ \infty_{i = 0} \Lambda_ i\) be a graded algebra over the field \(K\) and let \(R\) denote the ideal \(\bigoplus^ \infty_{i = 1} \Lambda_ i\). Each \(\Lambda_ i\) should be finite dimensional over \(K\), and \(D = \Lambda_ 0 = D_ 1 \times \cdots \times D_ m\) should be a product of finitely many finite-dimensional separable ...
openaire   +1 more source

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

Cartan matrix over the 0-Hecke algebra of type F4

Journal of Algebra, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng-Dong, Chen, Jin, Qian
openaire   +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