Results 11 to 20 of about 359,833 (281)
Interpolation inequalities and spectral estimates for magnetic operators [PDF]
We prove magnetic interpolation inequalities and Keller-Lieb-Thir-ring estimates for the principal eigenvalue of magnetic Schr{\"o}dinger operators. We establish explicit upper and lower bounds for the best constants and show by numerical methods that ...
Dolbeault, Jean +3 more
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Remarks on rings of constants of derivations [PDF]
Let k k be a field of characteristic p > 0 p > 0 and D ≠ 0 D \ne 0 a family of k k -derivations of k [ x , y ] k[x,y] . We prove that k [
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The fusion algebra of bimodule categories [PDF]
We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appropriate morphism spaces of those bimodule categories.
A. Joyal +30 more
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The puzzle conjecture for the cohomology of two-step flag manifolds [PDF]
We prove a conjecture of Knutson asserting that the Schubert structure constants of the cohomology ring of a two-step flag variety are equal to the number of puzzles with specified border labels that can be created using a list of eight puzzle pieces. As
Buch, Anders Skovsted +3 more
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Rings of Constants of the Formk[f] [PDF]
Let k[X] be the algebra of polynomials in n variables over a field k of characteristic zero, and let f ∊ k[X]∖ k. We present a construction of a derivation d of k[X] whose ring of constants is equal to the integral closure of k[f] in k[X]. A similar construction for fields of rational functions is also given.
Essen, A.R.P. van den +2 more
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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical ...
Thiem, Nathaniel
core +5 more sources
Constants are Definable in Rings of Analytic Functions [PDF]
The analytic functions defined in a fixed domain form a ring with pointwise addition and multiplication. We describe a way to define constants in the ring using a first-order formula which is independent of the domain.
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Regulator constants of integral representations of finite groups [PDF]
Let G be a finite group and p be a prime. We investigate isomorphism invariants of $\mathbb{Z}_{p}[G]$-lattices whose extension of scalars to $\mathbb{Q}_p$ is self-dual, called regulator constants.
Torzewski, Alex
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Constants of Algebraic Derivations in Prime Rings
Let R be a prime ring with extended centroid F and δ an F-algebraic derivation of R with the associated inner derivation ad(b). Set , the subring of constants of δ in R. We characterize the primeness and semiprimeness of R (δ) by the minimal polynomial μ(λ) of b over F.
Chuang, C.-L, Lee, T.-K, Zhou, Y.
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