Results 61 to 70 of about 7,762 (209)
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source
Conformal Covariance Subalgebras [PDF]
9 pages, no figures; typos and minor ...
openaire +3 more sources
Strength and partition rank under limits and field extensions
Abstract The strength of a multivariate homogeneous polynomial is the minimal number of terms in an expression as a sum of products of lower‐degree homogeneous polynomials. Partition rank is the analogue for multilinear forms. Both ranks can drop under field extensions, and both can jump in a limit.
Arthur Bik +3 more
wiley +1 more source
The present paper is devoted to a study of a natural 12-dimensional symmetry algebra of the three-dimensional hyperbolic differential equations of the perfect plasticity, obtained by D. D. Ivlev in 1959 and formulated in isostatic coordinates. An optimal
Vladimir A Kovalev, Yuriy N Radaev
doaj
Modular analogs of character formulas and minimal lifts of modular forms
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
Subalgebra and Khovanskii bases equivalence [PDF]
We study a partial correspondence between two previously-studied analogues of Gröbner bases in the setting of algebras: namely subalgebra bases for quotients of polynomial rings and Khovanskii bases for valued algebras and domains. Our main motivation is
Clarke, Oliver +3 more
core +2 more sources
Cauchy identities for staircase matrices
Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin +2 more
wiley +1 more source
Isometric immersions into three‐dimensional unimodular metric Lie groups
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro +2 more
wiley +1 more source
Nonrealizability of subalgebras of $\mathfrak{A}^*$ [PDF]
Let \(A^*=\mathbb{Z}/2[\xi_ n\mid n\geq 1]\) be the dual of the mod 2 Steenrod algebra. For \(k\geq 2\), the author proves there is no ring spectrum \(B_ k\) such that \(H_ *(B_ k;\mathbb{Z}/2)\) is isomorphic to \(\mathbb{Z}/2[\xi_ n^{2^ k}\mid n\geq 1]\) as algebras and \(A^*\)- comodules.
openaire +2 more sources
Neutrosophic N-Structures Applied to BCK/BCI-Algebras
Neutrosophic N -structures with applications in B C K / B C I -algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a B C K / B C I -algebra are introduced, and several ...
Young Bae Jun +2 more
doaj +1 more source

