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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
| The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
| Autore | Gorodnik Alexander <1975-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina | 515/.48 |
| Altri autori (Persone) | NevoAmos <1966-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
| Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
| ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
| Record Nr. | UNINA-9910825184303321 |
Gorodnik Alexander <1975->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The ergodic theory of lattice subgroups / Alexander Gorodnik and Amos Nevo
| The ergodic theory of lattice subgroups / Alexander Gorodnik and Amos Nevo |
| Autore | Gorodnik, Alexander |
| Pubbl/distr/stampa | Princeton, N.J. ; Oxford : Princeton University Press, c2010 |
| Descrizione fisica | xiii, 120 p. ; 25 cm |
| Disciplina | 515.48 |
| Altri autori (Persone) | Nevo, Amosauthor |
| Collana | Annals of mathematics studies ; 172 |
| Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
| ISBN |
9780691141848
0691141843 |
| Classificazione |
AMS 37-02
AMS 28D AMS 37A15 LC QA313.G67 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000512739707536 |
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Gorodnik, Alexander
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| Princeton, N.J. ; Oxford : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Expansion in finite simple groups of Lie type / Terence Tao
| Expansion in finite simple groups of Lie type / Terence Tao |
| Autore | Tao, Terence |
| Pubbl/distr/stampa | Providence, Rhode Island : American Mathematical Society, c2015 |
| Descrizione fisica | xiii, 303 p. : ill. ; 26 cm |
| Disciplina | 512.482 |
| Collana | Graduate studies in mathematics ; 164 |
| Soggetto topico |
Finite simple groups
Lie groups |
| ISBN |
9781470421960 (alk. paper)
1470421968 (alk. paper) |
| Classificazione |
AMS 20D06
LC QA387.T356 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003275689707536 |
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Tao, Terence
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| Providence, Rhode Island : American Mathematical Society, c2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian
| Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian |
| Autore | Jorgensen Palle |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XXVI, 231 p. 48 illus., 9 illus. in color.) |
| Disciplina | 515.2433 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Harmonic analysis
Topological groups Lie groups Fourier analysis Functional analysis Mathematical physics Probabilities Abstract Harmonic Analysis Topological Groups, Lie Groups Fourier Analysis Functional Analysis Mathematical Physics Probability Theory and Stochastic Processes |
| ISBN | 3-319-39780-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Acknowledgments -- Contents -- List of Figures -- List of Tables -- Symbols -- 1 Introduction -- 1.1 Two Extension Problems -- 1.1.1 Where to Find It -- 1.2 Quantum Physics -- 1.3 Stochastic Processes -- 1.3.1 Early Roots -- 1.3.2 An Application of Lemma 1.1: A Positive Definite Function on an Infinite Dimensional Vector Space -- 1.4 Overview of Applications of RKHSs -- 1.4.1 Connections to Gaussian Processes -- 1.5 Earlier Papers -- 1.6 Organization -- 2 Extensions of Continuous Positive Definite Functions -- 2.1 The RKHS HF -- 2.1.1 An Isometry -- 2.2 The Skew-Hermitian Operator D(F) in HF -- 2.2.1 The Case of Conjugations -- 2.2.2 Illustration: G=R, Correspondence Between the Two Extension Problems -- 2.3 Enlarging the Hilbert Space -- 2.4 Ext1(F) and Ext2(F) -- 2.4.1 The Case of n=1 -- 2.4.2 Comparison of p.d. Kernels -- 2.5 Spectral Theory of D(F) and Its Extensions -- 3 The Case of More General Groups -- 3.1 Locally Compact Abelian Groups -- 3.2 Lie Groups -- 3.2.1 The GNS Construction -- 3.2.2 Local Representations -- 3.2.3 The Convex Operation in Ext(F) -- 4 Examples -- 4.1 The Case of G=Rn -- 4.2 The Case of G=R/Z -- 4.3 Example: ei2πx -- 4.4 Example: e-|x| in (-a,a), Extensions to T=R/Z -- 4.4.1 General Consideration -- 4.5 Example: e-|x| in (-a,a), Extensions to R -- 4.6 Example: A Non-extendable p.d. Function in a Neighborhood of Zero in G=R2 -- 4.6.1 A Locally Defined p.d. Functions F on G=R2 with Ext(F)=. -- 5 Type I vs. Type II Extensions -- 5.1 Pólya Extensions -- 5.2 Main Theorems -- 5.2.1 Some Applications -- 5.3 The Deficiency-Indices of D(F) -- 5.3.1 Pólya-Extensions -- 5.4 The Example 5.3, Green's Function, and an HF-ONB -- 6 Spectral Theory for Mercer Operators, and Implications for Ext(F) -- 6.1 Groups, Boundary Representations, and Renormalization -- 6.2 Shannon Sampling, and Bessel Frames.
6.3 Application: The Case of F2 and Rank-1 Perturbations -- 6.4 Positive Definite Functions, Green's Functions, and Boundary -- 6.4.1 Connection to the Energy Form Hilbert Spaces -- 7 Green's Functions -- 7.1 The RKHSs for the Two Examples F2 and F3 in Table 5.1 -- 7.1.1 Green's Functions -- 7.1.1.1 Summary: Conclusions for the Two Examples -- 7.1.2 The Case of F2(x)=1-|x|, x(-12,12) -- 7.1.2.1 Pinned Brownian Motion -- 7.1.3 The Case of F3(x)=e-|x|, x(-1,1) -- 7.1.4 Integral Kernels and Positive Definite Functions -- 7.1.5 The Ornstein-Uhlenbeck Process Revisited -- 7.1.6 An Overview of the Two Cases: F2 and F3. -- 7.2 Higher Dimensions -- 8 Comparing the Different RKHSs HF and HK -- 8.1 Applications -- 8.2 Radially Symmetric Positive Definite Functions -- 8.3 Connecting F and F When F Is a Positive Definite Function -- 8.4 The Imaginary Part of a Positive Definite Function -- 8.4.1 Connections to, and Applications of, Bochner's Theorem -- 9 Convolution Products -- 10 Models for, and Spectral Representations of, OperatorExtensions -- 10.1 Model for Restrictions of Continuous p.d. Functions on R -- 10.2 A Model of ALL Deficiency Index-(1,1) Operators -- 10.2.1 Momentum Operators in L2(0,1) -- 10.2.2 Restriction Operators -- 10.3 The Case of Indices (d,d) Where d>1 -- 10.4 Spectral Representation of Index (1,1) Hermitian Operators -- 11 Overview and Open Questions -- 11.1 From Restriction Operator to Restriction of p.d. Function -- 11.2 The Splitting HF=HF(atom)HF(ac) HF(sing) -- 11.3 The Case of G=R1 -- 11.4 The Extreme Points of Ext(F) and { F} -- References -- Index. |
| Record Nr. | UNINA-9910137138703321 |
|
Jorgensen Palle
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian
| Extensions of Positive Definite Functions [[electronic resource] ] : Applications and Their Harmonic Analysis / / by Palle Jorgensen, Steen Pedersen, Feng Tian |
| Autore | Jorgensen Palle |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XXVI, 231 p. 48 illus., 9 illus. in color.) |
| Disciplina | 515.2433 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Harmonic analysis
Topological groups Lie groups Fourier analysis Functional analysis Mathematical physics Probabilities Abstract Harmonic Analysis Topological Groups, Lie Groups Fourier Analysis Functional Analysis Mathematical Physics Probability Theory and Stochastic Processes |
| ISBN | 3-319-39780-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Acknowledgments -- Contents -- List of Figures -- List of Tables -- Symbols -- 1 Introduction -- 1.1 Two Extension Problems -- 1.1.1 Where to Find It -- 1.2 Quantum Physics -- 1.3 Stochastic Processes -- 1.3.1 Early Roots -- 1.3.2 An Application of Lemma 1.1: A Positive Definite Function on an Infinite Dimensional Vector Space -- 1.4 Overview of Applications of RKHSs -- 1.4.1 Connections to Gaussian Processes -- 1.5 Earlier Papers -- 1.6 Organization -- 2 Extensions of Continuous Positive Definite Functions -- 2.1 The RKHS HF -- 2.1.1 An Isometry -- 2.2 The Skew-Hermitian Operator D(F) in HF -- 2.2.1 The Case of Conjugations -- 2.2.2 Illustration: G=R, Correspondence Between the Two Extension Problems -- 2.3 Enlarging the Hilbert Space -- 2.4 Ext1(F) and Ext2(F) -- 2.4.1 The Case of n=1 -- 2.4.2 Comparison of p.d. Kernels -- 2.5 Spectral Theory of D(F) and Its Extensions -- 3 The Case of More General Groups -- 3.1 Locally Compact Abelian Groups -- 3.2 Lie Groups -- 3.2.1 The GNS Construction -- 3.2.2 Local Representations -- 3.2.3 The Convex Operation in Ext(F) -- 4 Examples -- 4.1 The Case of G=Rn -- 4.2 The Case of G=R/Z -- 4.3 Example: ei2πx -- 4.4 Example: e-|x| in (-a,a), Extensions to T=R/Z -- 4.4.1 General Consideration -- 4.5 Example: e-|x| in (-a,a), Extensions to R -- 4.6 Example: A Non-extendable p.d. Function in a Neighborhood of Zero in G=R2 -- 4.6.1 A Locally Defined p.d. Functions F on G=R2 with Ext(F)=. -- 5 Type I vs. Type II Extensions -- 5.1 Pólya Extensions -- 5.2 Main Theorems -- 5.2.1 Some Applications -- 5.3 The Deficiency-Indices of D(F) -- 5.3.1 Pólya-Extensions -- 5.4 The Example 5.3, Green's Function, and an HF-ONB -- 6 Spectral Theory for Mercer Operators, and Implications for Ext(F) -- 6.1 Groups, Boundary Representations, and Renormalization -- 6.2 Shannon Sampling, and Bessel Frames.
6.3 Application: The Case of F2 and Rank-1 Perturbations -- 6.4 Positive Definite Functions, Green's Functions, and Boundary -- 6.4.1 Connection to the Energy Form Hilbert Spaces -- 7 Green's Functions -- 7.1 The RKHSs for the Two Examples F2 and F3 in Table 5.1 -- 7.1.1 Green's Functions -- 7.1.1.1 Summary: Conclusions for the Two Examples -- 7.1.2 The Case of F2(x)=1-|x|, x(-12,12) -- 7.1.2.1 Pinned Brownian Motion -- 7.1.3 The Case of F3(x)=e-|x|, x(-1,1) -- 7.1.4 Integral Kernels and Positive Definite Functions -- 7.1.5 The Ornstein-Uhlenbeck Process Revisited -- 7.1.6 An Overview of the Two Cases: F2 and F3. -- 7.2 Higher Dimensions -- 8 Comparing the Different RKHSs HF and HK -- 8.1 Applications -- 8.2 Radially Symmetric Positive Definite Functions -- 8.3 Connecting F and F When F Is a Positive Definite Function -- 8.4 The Imaginary Part of a Positive Definite Function -- 8.4.1 Connections to, and Applications of, Bochner's Theorem -- 9 Convolution Products -- 10 Models for, and Spectral Representations of, OperatorExtensions -- 10.1 Model for Restrictions of Continuous p.d. Functions on R -- 10.2 A Model of ALL Deficiency Index-(1,1) Operators -- 10.2.1 Momentum Operators in L2(0,1) -- 10.2.2 Restriction Operators -- 10.3 The Case of Indices (d,d) Where d>1 -- 10.4 Spectral Representation of Index (1,1) Hermitian Operators -- 11 Overview and Open Questions -- 11.1 From Restriction Operator to Restriction of p.d. Function -- 11.2 The Splitting HF=HF(atom)HF(ac) HF(sing) -- 11.3 The Case of G=R1 -- 11.4 The Extreme Points of Ext(F) and { F} -- References -- Index. |
| Record Nr. | UNISA-996466771603316 |
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Jorgensen Palle
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Extensions of Positive Definite Functions [e-book] : Applications and Their Harmonic Analysis / by Palle Jorgensen, Steen Pedersen, Feng Tian
| Extensions of Positive Definite Functions [e-book] : Applications and Their Harmonic Analysis / by Palle Jorgensen, Steen Pedersen, Feng Tian |
| Autore | Jorgensen, Palle |
| Pubbl/distr/stampa | Cham : Springer International Publishing, 2016 |
| Descrizione fisica | 1 online resource |
| Disciplina | 515.785 |
| Altri autori (Persone) |
Pedersen, Steenauthor
Tian, Feng |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 2160 |
| Soggetto topico |
Topological groups
Lie groups Harmonic analysis Fourier analysis Functional analysis Probabilities Mathematical physics |
| ISBN | 9783319397801 |
| Classificazione |
AMS 42-02
AMS 47-02 AMS 47B65 LC QA403-403 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003555109707536 |
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Jorgensen, Palle
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| Cham : Springer International Publishing, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Finite groups of Lie type : conjugacy classes and complex characters / Roger W. Carter
| Finite groups of Lie type : conjugacy classes and complex characters / Roger W. Carter |
| Autore | Carter, Roger W. |
| Edizione | [Facsimile reprint] |
| Pubbl/distr/stampa | Ann Arbor, Michigan : UMI, 2000 |
| Descrizione fisica | xii, 544 p. : ill. ; 24 cm. |
| Disciplina | 511.2 |
| Collana | Pure and applied mathematics. A wiley-interscience series of texts, monographs & tracts, ISSN 00798185 |
| Soggetto topico |
Finite groups
Lie groups |
| ISBN | 0471905542 |
| Classificazione |
AMS 20D06
QA171.C34 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000891169707536 |
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Carter, Roger W.
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| Ann Arbor, Michigan : UMI, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Finite presentability of S-arithmetic groups : compact presentability of solvable groups / / Herbert Abels
| Finite presentability of S-arithmetic groups : compact presentability of solvable groups / / Herbert Abels |
| Autore | Abels Herbert <1941-> |
| Edizione | [1st ed. 1987.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1987] |
| Descrizione fisica | 1 online resource (VI, 182 p.) |
| Disciplina | 512.2 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Arithmetic groups
Lie groups Linear algebraic groups |
| ISBN | 3-540-47198-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Compact presentability and contracting automorphisms -- Filtrations of Lie algebras and groups -- A necessary condition for compact presentability -- Implications of the necessary condition -- The second homology -- S-arithmetic groups -- S-arithmetic solvable groups. |
| Record Nr. | UNISA-996466492103316 |
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Abels Herbert <1941->
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Fonctions de plusieurs variables complexes V : séminaire Francois Norguet, Octobre 1979-Juin 1985 / édité par Francois Norguet
| Fonctions de plusieurs variables complexes V : séminaire Francois Norguet, Octobre 1979-Juin 1985 / édité par Francois Norguet |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1986 |
| Descrizione fisica | 301 p. : ill. ; 25 cm |
| Disciplina | 515.94 |
| Altri autori (Persone) | Norguet, Francois |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1188 |
| Soggetto topico |
Complex variables
Functions of several complex variables - Congresses Global analysis Integral transforms Lie groups |
| ISBN | 354016460X |
| Classificazione |
AMS 14-XX
AMS 22-XX AMS 32-XX AMS 44-XX AMS 58-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNISALENTO-991000898909707536 |
| Berlin : Springer-Verlag, c1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Foundations of differentiable manifolds and Lie groups / Frank W. Warner
| Foundations of differentiable manifolds and Lie groups / Frank W. Warner |
| Autore | Warner, Frank W. |
| Pubbl/distr/stampa | Glenview, Ill. : Scott and Foresman, c1971 |
| Descrizione fisica | 270 p. : ill. ; 25 cm. |
| Disciplina | 516.36 |
| Collana | Graduate texts in mathematics, 0072-5285 ; 94 |
| Soggetto topico |
Differentiable manifolds
Differential geometry Lie groups |
| Classificazione |
AMS 22E
AMS 53-01 AMS 53-XX AMS 58A |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000905079707536 |
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Warner, Frank W.
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| Glenview, Ill. : Scott and Foresman, c1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Soggetto topico
-
Lie groups
(513)
- Topological groups (174)
- Topological Groups, Lie Groups (147)
- Representations of groups (68)
- Lie algebras (59)