Transactions of the American Mathematical Society, ISSN 0002-9947, 04/2017, Volume 369, Issue 4, pp. 2879 - 2896

We show that the group cohomology of torsion-free virtually polycyclic groups and the continuous cohomology of simply connected solvable Lie groups can be...

Rational cohomology of algebraic group | De Rham cohomology of solvmanifold | Group cohomology of torsion-free virtually polycyclic group | Continuous cohomology of simply connected solvable Lie group | ALGEBRAIC-GROUPS | MATHEMATICS | continuous cohomology of simply connected solvable Lie group | RIGIDITY | SOLVMANIFOLDS | SUBGROUPS | rational cohomology of algebraic group | de Rham cohomology of solvmanifold

Rational cohomology of algebraic group | De Rham cohomology of solvmanifold | Group cohomology of torsion-free virtually polycyclic group | Continuous cohomology of simply connected solvable Lie group | ALGEBRAIC-GROUPS | MATHEMATICS | continuous cohomology of simply connected solvable Lie group | RIGIDITY | SOLVMANIFOLDS | SUBGROUPS | rational cohomology of algebraic group | de Rham cohomology of solvmanifold

Journal Article

Russian Journal of Mathematical Physics, ISSN 1061-9208, 4/2006, Volume 13, Issue 2, pp. 210 - 223

As was proved by van der Waerden in 1933, every finite-dimensional locally bounded representation of a semisimple compact Lie group is continuous. This is the...

Mathematical and Computational Physics | Physics | REAL | TOPOLOGIES | CONTINUOUS BOUNDED COHOMOLOGY | PHYSICS, MATHEMATICAL | SPACES

Mathematical and Computational Physics | Physics | REAL | TOPOLOGIES | CONTINUOUS BOUNDED COHOMOLOGY | PHYSICS, MATHEMATICAL | SPACES

Journal Article

Mathematical Notes, ISSN 0001-4346, 7/2005, Volume 78, Issue 1, pp. 128 - 133

It is shown that an arbitrary irreducible continuous unitary projective representation of a simple Hermitian symmetric Lie group is generated by a strongly...

pure pseudorepresentation | simple Hermitian symmetric Lie group | Mathematics, general | Mathematics | amenable group | projective representation | Iwasawa decomposition | Amenable group | Projective representation | Simple Hermitian symmetric Lie group | Pure pseudorepresentation | MATHEMATICS | CONTINUOUS BOUNDED COHOMOLOGY

pure pseudorepresentation | simple Hermitian symmetric Lie group | Mathematics, general | Mathematics | amenable group | projective representation | Iwasawa decomposition | Amenable group | Projective representation | Simple Hermitian symmetric Lie group | Pure pseudorepresentation | MATHEMATICS | CONTINUOUS BOUNDED COHOMOLOGY

Journal Article

Russian Journal of Mathematical Physics, ISSN 1061-9208, 9/2007, Volume 14, Issue 3, pp. 332 - 356

In the paper, the description of the structure of all finite-dimensional locally bounded quasirepresentations of arbitrary connected Lie groups is given and...

Mathematical and Computational Physics | Physics | CONTINUITY | VAN | REPRESENTATIONS | THEOREM | CONTINUOUS BOUNDED COHOMOLOGY | PHYSICS, MATHEMATICAL | LOCALLY COMPACT GROUP

Mathematical and Computational Physics | Physics | CONTINUITY | VAN | REPRESENTATIONS | THEOREM | CONTINUOUS BOUNDED COHOMOLOGY | PHYSICS, MATHEMATICAL | LOCALLY COMPACT GROUP

Journal Article

Acta Applicandae Mathematicae, ISSN 0167-8019, 8/2001, Volume 68, Issue 1, pp. 105 - 121

We present a brief review of the theory of quasi-characters and quasi-representations and prove a necessary and sufficient condition that the second real...

pseudocharacter | Mathematical and Computational Physics | Mechanics | Mathematics, general | Mathematics | quasi-character of a group | Computer Science, general | Statistical Physics | continuous bounded cohomology | Pseudocharacter | Continuous bounded cohomology | Quasi-character of a group | MATHEMATICS, APPLIED | Studies | Mathematical models

pseudocharacter | Mathematical and Computational Physics | Mechanics | Mathematics, general | Mathematics | quasi-character of a group | Computer Science, general | Statistical Physics | continuous bounded cohomology | Pseudocharacter | Continuous bounded cohomology | Quasi-character of a group | MATHEMATICS, APPLIED | Studies | Mathematical models

Journal Article

Israel Journal of Mathematics, ISSN 0021-2172, 9/2017, Volume 221, Issue 1, pp. 25 - 57

We say that a Lie algebra g is quasi-state rigid if every Ad-invariant continuous Lie quasi-state on it is the directional derivative of a homogeneous...

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | BALL | GLEASON | CALABI QUASIMORPHISMS | THEOREM | INVARIANT | HOMOLOGY | Functions, Continuous | Research | Mathematical research | Matematik

Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | BALL | GLEASON | CALABI QUASIMORPHISMS | THEOREM | INVARIANT | HOMOLOGY | Functions, Continuous | Research | Mathematical research | Matematik

Journal Article

Acta Applicandae Mathematicae, ISSN 0167-8019, 8/2004, Volume 83, Issue 1, pp. 1 - 23

A nonlinear Spencer complex for the group of invertible C-differential operators is constructed on an arbitrary infinitely prolonged equation. The exactness of...

invertible differential operators | flatness | Mathematical and Computational Physics | control systems | Mechanics | Mathematics, general | Spencer complex | Mathematics | Computer Science, general | Statistical Physics | Invertible differential operators | Control systems | Flatness | MATHEMATICS, APPLIED | CONTINUOUS PSEUDOGROUPS | SYSTEMS | DEFORMATION | Studies

invertible differential operators | flatness | Mathematical and Computational Physics | control systems | Mechanics | Mathematics, general | Spencer complex | Mathematics | Computer Science, general | Statistical Physics | Invertible differential operators | Control systems | Flatness | MATHEMATICS, APPLIED | CONTINUOUS PSEUDOGROUPS | SYSTEMS | DEFORMATION | Studies

Journal Article

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