Results 31 to 40 of about 52,965 (200)
The Rank-One property for free Frobenius extensions
Comptes Rendus. Mathématique, 2023 A conjecture by the second author, proven by Bonnafé–Rouquier, says that the multiplicity matrix for baby Verma modules over the restricted rational Cherednik algebra has rank one over $\mathbb{Q}$ when restricted to each block of the algebra.In this ...
Bellamy, Gwyn, Thiel, Ulrich
doaj +1 more source
Journal of Algebra, 2003 The paper under review studies Frobenius factor algebras of finite dimensional algebras. Let \(D(\Lambda)\) be the \(K\)-dual of a finite dimensional \(K\)-algebra \(\Lambda\). Then \(D(\Lambda)\) becomes naturally a left and right \(\Lambda\)-module.
openaire +1 more source
Subring Depth, Frobenius Extensions, and Towers
International Journal of Mathematics and Mathematical Sciences, 2012 The minimum depth d(B,A) of a subring B⊆A introduced in the work of Boltje, Danz and Külshammer (2011) is studied and compared with the tower depth of a Frobenius extension.
Lars Kadison
doaj +1 more source
Approximating Hamiltonian dynamics with the Nyström method [PDF]
Quantum, 2020 Simulating the time-evolution of quantum mechanical systems is BQP-hard and expected to be one of the foremost applications of quantum computers. We consider classical algorithms for the approximation of Hamiltonian dynamics using subsampling methods ...
Alessandro Rudi +5 more
doaj +1 more source
Edge contraction on dual ribbon graphs and 2D TQFT
, 2017 We present a new set of axioms for 2D TQFT formulated on the category of cell graphs with edge-contraction operations as morphisms. We construct a functor from this category to the endofunctor category consisting of Frobenius algebras.
Dumitrescu, Olivia, Mulase, Motohico
core +1 more source
Hilbertian Frobenius algebras [PDF]
Communications in Algebra, 2021 Commutative Hilbertian Frobenius algebras are those commutative semi-group objects in the monoidal category of Hilbert spaces, for which the Hilbert adjoint of the multiplication satisfies the Frobenius compatibility relation, that is, this adjoint is a bimodule map. In this note we prove that they split as an orthogonal direct sum of two closed ideals,
openaire +3 more sources
Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S(2)
Special Matrices, 2018 We in this paper define the outer-Perron-Frobenius splitting, which is an extension of the pseudo- Perron-Frobenius splitting defined in [A.N. Sushama, K. Premakumari, K.C.
Huang Shaowu +3 more
doaj +1 more source
KdV hierarchies and quantum Novikov's equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsThis paper begins with a review of the well-known KdV hierarchy, the $N$-th Novikov equation, and its finite hierarchy in the classical commutative case. This finite hierarchy consists of $N$ compatible integrable polynomial dynamical systems in $\mathbb{
V. M. Buchstaber, A. V. Mikhailov
doaj +1 more source
On properties of principal elements of Frobenius Lie algebras [PDF]
, 2014 We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a ...
Diatta, Andre, Manga, Bakary
core
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source