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Journal of automated reasoning, ISSN 0168-7433, 1985
Journal
Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2019, Volume 371, Issue 6, pp. 4193 - 4214
We represent a general bilinear Calderón-Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a... 
bilinear analysis | weighted theory | MATHEMATICS | representation theorems | Dyadic analysis | model operators | T1 theorems | Calderon-Zygmund operators | dyadic shifts | OPERATORS
Journal Article
Communications in Algebra, ISSN 0092-7872, 05/2019, Volume 47, Issue 5, pp. 2192 - 2203
In the present article, we examine linear representations of finite gyrogroups, following their group-counterparts. In particular, we prove Maschke's theorem... 
linear representation | gyrogroup action | Primary 20G05 | Gyrogroup | Secondary 20N05 | left regular representation | Maschke's theorem | Function space | Theorems | Mathematics - Representation Theory
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2019, Volume 581, pp. 304 - 323
We establish an effective version of the classical Lie–Kolchin Theorem. Namely, let A,B∈GLm(C) be quasi-unipotent matrices such that the Jordan Canonical Form... 
Solvable groups | Unipotent matrices | Mapping class groups | Lie–Kolchin theorem | MATHEMATICS | MATHEMATICS, APPLIED | REPRESENTATIONS | BRAID-GROUPS | AUTOMORPHISM GROUP | Lie-Kolchin theorem | QUOTIENTS | Theorems | Mapping | Eigenvectors | Subgroups | Canonical forms
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 09/2015, Volume 92, Issue 6
We study the behavior of the tree-level S-matrix of a variety of theories as two particles become soft. By analogy with the recently found subleading soft... 
GENERAL RELATIVITY | ASTRONOMY & ASTROPHYSICS | GRAVITATIONAL WAVES | PHOTONS | PHYSICS, PARTICLES & FIELDS | Gravitation | Theorems | Gluons | Scalars | Nonlinearity | Mathematical models | Representations | Formulas (mathematics) | Physics - High Energy Physics - Theory
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2017, Volume 58, Issue 12, p. 122204
Quantum versions of de Finetti’s theorem are powerful tools, yielding conceptually important insights into the security of key distribution protocols or... 
REPRESENTATION | SYSTEMS | QUANTUM STATES | PHYSICS, MATHEMATICAL | ALGEBRA | CENTRAL-LIMIT-THEOREM | Permutations | Theorems | Security | Symmetry
Journal Article
Inventiones Mathematicae, ISSN 0020-9910, 2016, Volume 203, Issue 1, pp. 1 - 177
We consider certain families of automorphic representations over number fields arising from the principle of functoriality of Langlands. Let be a reductive... 
P-ADIC GROUPS | MATHEMATICS | MOTIVIC INTEGRATION | LIE-GROUPS | STABLE TRACE FORMULA | EULER PRODUCTS | RANDOM-MATRIX THEORY | HECKE OPERATORS | REDUCTIVE GROUPS | POWER L-FUNCTIONS | MODULAR-FORMS | Theorems | Infinity | Eigenvalues | Isomorphism | Fuel consumption | Representations | Symmetry
Journal Article
Algebra universalis, ISSN 0002-5240, 9/2018, Volume 79, Issue 3, pp. 1 - 14
An important theorem of Baker and Pixley states that if $$\mathbf {A}$$ A is a finite algebra with a $$(d+1)$$ (d+1) -ary near-unanimity term and f is an n-ary... 
03C40 | Algebra | Global representation | 08B10 | Baker–Pixley theorem | 03C05 | Mathematics | Near unanimity term | 08A40 | Term-interpolability | MATHEMATICS | Baker-Pixley theorem
Journal Article
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 12/2018, Volume 352, pp. 1 - 11
In the paper, the implication and tensor operations of strong L-nested systems are found, and further we show that the family of all strong L-nested systems on... 
Representation theorem | L-subsets | Strong L-nested systems | Girard residuated lattices
Journal Article
Annals of Mathematics, ISSN 0003-486X, 9/2010, Volume 172, Issue 2, pp. 1407 - 1434
In the local, characteristic 0, non-Archimedean case, we consider distributions on GL(n + 1) which are invariant under the adjoint action of GL(n). We prove... 
Algebra | Mathematical theorems | Topological theorems | Adjoints | Homeomorphism | Fourier transformations | Polynomials | Vector spaces | Topological spaces | MATHEMATICS | SHINTANI FUNCTIONS | REPRESENTATIONS | GL(N) | ORTHOGONAL GROUPS | DECOMPOSITION | LOCAL-FIELD F | GELFAND PAIR
Journal Article
by Fang, JM and Zhang, QL and Yu, Q
FUZZY SETS AND SYSTEMS, ISSN 0165-0114, 12/2018, Volume 352, pp. 1 - 11
In the paper, the implication and tensor operations of strong L-nested systems are found, and further we show that the family of all strong L-nested systems on... 
MATHEMATICS, APPLIED | L-subsets | Strong L-nested systems | Representation theorem | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | FUZZY-SETS | Girard residuated lattices
Journal Article
Israel Journal of Mathematics, ISSN 0021-2172, 11/2012, Volume 192, Issue 1, pp. 83 - 120
Let F be a totally real field, G a connected reductive group over F, and S a finite set of finite places of F. Assume that G(F ⊗ℚ ℝ) has a discrete series... 
Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | EIGENVALUES | LIMIT MULTIPLICITIES | CUSPIDAL REPRESENTATIONS | FORMULA | HECKE | Series | Existence theorems | Research
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 04/2018, Volume 59, Issue 4, p. 42202
We prove a generalization of the quantum de Finetti theorem when the local space is an infinite-dimensional Fock space. In particular, instead of considering... 
REPRESENTATION | SECURITY | QUANTUM KEY DISTRIBUTION | PHYSICS, MATHEMATICAL | Mathematical Physics | Quantum Physics | Physics
Journal Article
Journal of Algebra, ISSN 0021-8693, 04/2020, Volume 547, pp. 179 - 219
We study the structure of an algebraic supergroup ▪ and establish the Borel-Weil theorem for ▪ to give a systematic construction of all simple supermodules... 
Borel-Weil theorem | Hopf superalgebra | Algebraic supergroup | Quasireductive supergroup | Chevalley supergroup | MATHEMATICS | LIE-SUPERALGEBRAS | MODULAR-REPRESENTATIONS
Journal Article
Communications in Algebra, ISSN 0092-7872, 06/2018, Volume 46, Issue 6, pp. 2615 - 2619
In these notes we give a version of the Alperin-Goldschmidt fusion theorem for localities. 
Fusion systems | 20J15 Secondary 20J06 | localities | group cohomology | Primary 20D20 | transporter systems | MATHEMATICS | SYSTEMS | Theorems
Journal Article
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