Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2018, Volume 459, Issue 1, pp. 135 - 144

Let H be a complex Hilbert space of dimension not less than 3 and let Gk(H) be the Grassmannian formed by k-dimensional subspaces of H. Suppose that...

Hilbert Grassmannian | Wigner's theorem | Principal angles

Hilbert Grassmannian | Wigner's theorem | Principal angles

Journal Article

2010, Algebra and discrete mathematics, ISBN 9789814317566, Volume 2., xii, 212

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 2, pp. 1238 - 1249

Let H be a complex Hilbert space whose dimension is not less than 3 and let Fs(H) be the real vector space formed by all self-adjoint operators of finite rank...

Wigner's type theorems | Projection | Hilbert Grassmannian | Self-adjoint operator of finite rank | MATHEMATICS | MATHEMATICS, APPLIED | SET | N-DIMENSIONAL SUBSPACES | TRANSFORMATIONS

Wigner's type theorems | Projection | Hilbert Grassmannian | Self-adjoint operator of finite rank | MATHEMATICS | MATHEMATICS, APPLIED | SET | N-DIMENSIONAL SUBSPACES | TRANSFORMATIONS

Journal Article

Linear Algebra and its Applications, ISSN 0024-3795, 10/2017, Volume 531, p. 498

We define the Grassmannians of an infinite-dimensional vector space V as the orbits of the action of the general linear group GL(V) on the set of all...

Apartments | Coordinate transformations | Vector space | Differential equations | Graphs | Linear equations | Vector spaces | Subspaces | Automorphisms | Automotive components

Apartments | Coordinate transformations | Vector space | Differential equations | Graphs | Linear equations | Vector spaces | Subspaces | Automorphisms | Automotive components

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 12/2019, Volume 582, pp. 430 - 439

Let H be a complex Hilbert space and let C be a conjugacy class of rank k self-adjoint operators on H with respect to the action of the group of unitary...

Complex Hilbert space | Conjugacy class of finite rank self-adjoint operators | Commutativity preserving transformations | MATHEMATICS | MATHEMATICS, APPLIED | SET | MAPS | N-DIMENSIONAL SUBSPACES | ISOMETRIES | Commutativity | Operators | Transformations | Hilbert space

Complex Hilbert space | Conjugacy class of finite rank self-adjoint operators | Commutativity preserving transformations | MATHEMATICS | MATHEMATICS, APPLIED | SET | MAPS | N-DIMENSIONAL SUBSPACES | ISOMETRIES | Commutativity | Operators | Transformations | Hilbert space

Journal Article

2015, ISBN 9814651079, 181

This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians. In contrast to classical books, we...

Embeddings (Mathematics) | Mathematics | MATHEMATICS | Grassmann manifolds

Embeddings (Mathematics) | Mathematics | MATHEMATICS | Grassmann manifolds

eBook

Journal for ImmunoTherapy of Cancer, ISSN 2051-1426, 11/2016, Volume 4, Issue S1

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 10/2017, Volume 531, pp. 498 - 509

We define the Grassmannians of an infinite-dimensional vector space V as the orbits of the action of the general linear group GL(V) on the set of all...

Grassmannian | Semilinear isomorphism | Infinite-dimensional vector space | MATHEMATICS | MATHEMATICS, APPLIED | Apartments

Grassmannian | Semilinear isomorphism | Infinite-dimensional vector space | MATHEMATICS | MATHEMATICS, APPLIED | Apartments

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 10/2016, Volume 506, pp. 168 - 182

Let H be a complex Hilbert space. Denote by Gk(H) the Grassmannian consisting of k-dimensional subspaces of H. Every orthogonal apartment of Gk(H) is defined...

Orthogonal apartment | Hilbert Grassmannian | Compatibility relation | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | SET | MAPS | N-DIMENSIONAL SUBSPACES | TRANSFORMATIONS | Apartments

Orthogonal apartment | Hilbert Grassmannian | Compatibility relation | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | SET | MAPS | N-DIMENSIONAL SUBSPACES | TRANSFORMATIONS | Apartments

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 01/2016, Volume 488, pp. 184 - 198

We establish that every embedding of a Grassmann graph in a polar Grassmann graph can be reduced to an embedding in a Grassmann graph or to an embedding in the...

Embedding | Semilinear mapping | Polar Grassmann graph | Grassmann graph | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | Semi linear mapping

Embedding | Semilinear mapping | Polar Grassmann graph | Grassmann graph | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | Semi linear mapping

Journal Article

Physical Review D, ISSN 2470-0010, 11/2018, Volume 98, Issue 9, p. 095029

New neutral vector bosons Z′ decaying to charged gauge boson pairs W+W− are predicted in many scenarios of new physics, including models with an extended gauge...

Standard model (particle physics) | Parameters | Large Hadron Collider | Predictions | Luminosity | Benchmarks | Mathematical models | Bosons

Standard model (particle physics) | Parameters | Large Hadron Collider | Predictions | Luminosity | Benchmarks | Mathematical models | Bosons

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 04/2015, Volume 63, Issue 4, pp. 695 - 701

Let and be vector spaces over division rings (possibly infinite-dimensional) and let and be the associated projective spaces. We say that is a PGL-mapping if...

projective space | normed space | 46B03 | 51A10 | MATHEMATICS | Algebra | Analogue | Images | Isomorphism | Division | Inverse | Mapping | Vector spaces

projective space | normed space | 46B03 | 51A10 | MATHEMATICS | Algebra | Analogue | Images | Isomorphism | Division | Inverse | Mapping | Vector spaces

Journal Article

Discrete & Computational Geometry, ISSN 0179-5376, 3/2018, Volume 59, Issue 2, pp. 363 - 382

Zigzags in thin chamber complexes are investigated, in particular, all zigzags in the Coxeter complexes are described. Using this description, we show that the...

Coxeter complex | Computational Mathematics and Numerical Analysis | Mathematics | Zigzag | Combinatorics | Thin chamber complex | MATHEMATICS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Resveratrol

Coxeter complex | Computational Mathematics and Numerical Analysis | Mathematics | Zigzag | Combinatorics | Thin chamber complex | MATHEMATICS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Resveratrol

Journal Article

Electronic Journal of Combinatorics, ISSN 1077-8926, 10/2014, Volume 21, Issue 4

Let II be a polar space of type D-n. Denote by g(delta)(II) delta is an element of {+, -} the associated half-spin Grassmannians and write Gamma(delta)(II) for...

Half-cube graph | Half-spin grassmann graph | Isometric embedding | MATHEMATICS | MATHEMATICS, APPLIED | APARTMENTS | POINT-COLLINEARITY GRAPHS | SUBGRAPHS | BUILDING GEOMETRIES

Half-cube graph | Half-spin grassmann graph | Isometric embedding | MATHEMATICS | MATHEMATICS, APPLIED | APARTMENTS | POINT-COLLINEARITY GRAPHS | SUBGRAPHS | BUILDING GEOMETRIES

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 05/2012, Volume 436, Issue 9, pp. 3413 - 3424

Let V and V′ be vector spaces of dimension n and n′, respectively. Let k∈{2,…,n-2} and k′∈{2,…,n′-2}. We describe all isometric and l-rigid isometric...

Semilinear embedding | Isometric embedding | Grassmann graph | MATHEMATICS, APPLIED | THEOREM | SPACES | GEOMETRY

Semilinear embedding | Isometric embedding | Grassmann graph | MATHEMATICS, APPLIED | THEOREM | SPACES | GEOMETRY

Journal Article

Discrete Mathematics, ISSN 0012-365X, 03/2013, Volume 313, Issue 5, pp. 721 - 725

Let I be a set of infinite cardinality α. For every cardinality β≤α the Johnson graphs Jβ and Jβ are the graphs whose vertices are subsets X⊂I satisfying...

Graph automorphism | Infinite Johnson graph | Infinite johnson graph | MATHEMATICS

Graph automorphism | Infinite Johnson graph | Infinite johnson graph | MATHEMATICS

Journal Article

ARS MATHEMATICA CONTEMPORANEA, ISSN 1855-3966, 2016, Volume 11, Issue 1, pp. 101 - 106

We consider the halved Cayley graphs of Coxeter systems and show that every automorphism of such a graph can be uniquely extended to an automorphism of the...

MATHEMATICS | MATHEMATICS, APPLIED | Coxeter system | Cayley graph

MATHEMATICS | MATHEMATICS, APPLIED | Coxeter system | Cayley graph

Journal Article

Discrete Mathematics, ISSN 0012-365X, 09/2019, Volume 342, Issue 9, pp. 2549 - 2558

Let Γ be a triangulation of a connected closed 2-dimensional (not necessarily orientable) surface. Using zigzags (closed left–right walks), for every face of Γ...

Embedded graph | Triangulation of surfaces | Zigzag | [formula omitted]-monodromy | MATHEMATICS | z-monodromy

Embedded graph | Triangulation of surfaces | Zigzag | [formula omitted]-monodromy | MATHEMATICS | z-monodromy

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 11/2013, Volume 61, Issue 11, pp. 1555 - 1567

Let and be vector spaces over division rings. Suppose is finite and not less than . Consider a mapping with the following property: for every , there is such...

general linear group | projective linear group | semilinear embedding | MATHEMATICS | DIVISION RINGS | HOMOMORPHISMS | Algebra | Mathematical analysis | Images | Division | Mapping | Vector spaces | Subspaces

general linear group | projective linear group | semilinear embedding | MATHEMATICS | DIVISION RINGS | HOMOMORPHISMS | Algebra | Mathematical analysis | Images | Division | Mapping | Vector spaces | Subspaces

Journal Article

Advances in Geometry, ISSN 1615-715X, 01/2014, Volume 14, Issue 1, pp. 91 - 108

Let V be an n-dimensional left vector space over a division ring R. We write Gk(V ) for the Grassmannian formed by k-dimensional subspaces of V and denote by...

Johnson graph | isometric embedding | Grassmann graph | apartment | Apartment | Isometric embedding | MATHEMATICS | CHOWS THEOREM | LINEAR-SPACES | Graph theory | Rings (Algebra) | Research | Vector spaces | Mathematical research

Johnson graph | isometric embedding | Grassmann graph | apartment | Apartment | Isometric embedding | MATHEMATICS | CHOWS THEOREM | LINEAR-SPACES | Graph theory | Rings (Algebra) | Research | Vector spaces | Mathematical research

Journal Article

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