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Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander
| Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander |
| Autore | Auslander Louis |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (121 pages) |
| Disciplina | 516 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Topological dynamics |
| Soggetto non controllato |
Additive group
Affine space Automorphism Change of basis Characteristic class Cohomology Combination Compact space Complex number Complexification Constant function Continuous function Corollary Coset Dense set Diagram (category theory) Dimension (vector space) Dimension Diophantine approximation Direct integral Direct sum Eigenfunction Eigenvalues and eigenvectors Empty set Ergodic theory Ergodicity Euclidean space Exact sequence Existential quantification Exponential function Exponential map (Lie theory) Fiber bundle Finite set Fundamental domain Fundamental group General position Geodesic Group representation Haar measure Hausdorff space Hilbert space Homeomorphism Homogeneous coordinates Homogeneous space Homomorphism Horocycle Identity component Imaginary number Induced representation Integer Invariant measure Irreducible component Lebesgue measure Lie algebra Lie group Linear fractional transformation Locally compact group Mathematical induction Measure (mathematics) Morphism Nilpotent Lie algebra Nilpotent group Nilpotent Non-abelian Normal subgroup One-dimensional space One-parameter group Open set Phase space Pointwise Projection (linear algebra) Regular element Remainder Representation theory Riemannian manifold Root system Semidirect product Solvable Lie algebra Solvable group Special case Stone's theorem Subalgebra Subgroup Subset Tangent space Tangent vector Theorem Three-dimensional space (mathematics) Topological group Topology Transformation matrix Transitive relation Two-dimensional space Unit sphere Unit vector Unitary operator Unitary representation Unitary transformation Vector space Without loss of generality |
| ISBN | 1-4008-8202-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154748203321 |
Auslander Louis
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
| The structure of affine buildings [[electronic resource] /] / Richard M. Weiss |
| Autore | Weiss Richard M (Richard Mark), <1946-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Moufang loops Automorphisms Affine algebraic groups |
| Soggetto non controllato |
Addition
Additive group Additive inverse Algebraic group Algebraic structure Ambient space Associative property Automorphism Big O notation Bijection Bilinear form Bounded set (topological vector space) Bounded set Calculation Cardinality Cauchy sequence Commutative property Complete graph Complete metric space Composition algebra Connected component (graph theory) Consistency Continuous function Coordinate system Corollary Coxeter group Coxeter–Dynkin diagram Diagram (category theory) Diameter Dimension Discrete valuation Division algebra Dot product Dynkin diagram E6 (mathematics) E7 (mathematics) E8 (mathematics) Empty set Equipollence (geometry) Equivalence class Equivalence relation Euclidean geometry Euclidean space Existential quantification Free monoid Fundamental domain Hyperplane Infimum and supremum Jacques Tits K0 Linear combination Mathematical induction Metric space Multiple edges Multiplicative inverse Number theory Octonion Parameter Permutation group Permutation Pointwise Polygon Projective line Quadratic form Quaternion Remainder Root datum Root system Scientific notation Sphere Subgroup Subring Subset Substructure Theorem Topology of uniform convergence Topology Torus Tree (data structure) Tree structure Two-dimensional space Uniform continuity Valuation (algebra) Vector space Without loss of generality |
| ISBN |
1-282-45836-1
9786612458361 1-4008-2905-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index |
| Record Nr. | UNINA-9910780926103321 |
|
Weiss Richard M (Richard Mark), <1946->
|
||
| Princeton, N.J., : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
| The structure of affine buildings [[electronic resource] /] / Richard M. Weiss |
| Autore | Weiss Richard M (Richard Mark), <1946-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Moufang loops Automorphisms Affine algebraic groups |
| Soggetto non controllato |
Addition
Additive group Additive inverse Algebraic group Algebraic structure Ambient space Associative property Automorphism Big O notation Bijection Bilinear form Bounded set (topological vector space) Bounded set Calculation Cardinality Cauchy sequence Commutative property Complete graph Complete metric space Composition algebra Connected component (graph theory) Consistency Continuous function Coordinate system Corollary Coxeter group Coxeter–Dynkin diagram Diagram (category theory) Diameter Dimension Discrete valuation Division algebra Dot product Dynkin diagram E6 (mathematics) E7 (mathematics) E8 (mathematics) Empty set Equipollence (geometry) Equivalence class Equivalence relation Euclidean geometry Euclidean space Existential quantification Free monoid Fundamental domain Hyperplane Infimum and supremum Jacques Tits K0 Linear combination Mathematical induction Metric space Multiple edges Multiplicative inverse Number theory Octonion Parameter Permutation group Permutation Pointwise Polygon Projective line Quadratic form Quaternion Remainder Root datum Root system Scientific notation Sphere Subgroup Subring Subset Substructure Theorem Topology of uniform convergence Topology Torus Tree (data structure) Tree structure Two-dimensional space Uniform continuity Valuation (algebra) Vector space Without loss of generality |
| ISBN |
1-282-45836-1
9786612458361 1-4008-2905-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index |
| Record Nr. | UNINA-9910828976703321 |
|
Weiss Richard M (Richard Mark), <1946->
|
||
| Princeton, N.J., : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||