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Algebra 1 [[electronic resource] ] : Groups, Rings, Fields and Arithmetic / / by Ramji Lal
| Algebra 1 [[electronic resource] ] : Groups, Rings, Fields and Arithmetic / / by Ramji Lal |
| Autore | Lal Ramji |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XVII, 433 p.) |
| Disciplina | 512.2 |
| Collana | Infosys Science Foundation Series in Mathematical Sciences |
| Soggetto topico |
Group theory
Associative rings Rings (Algebra) Nonassociative rings Commutative algebra Commutative rings Algebra Field theory (Physics) Number theory Group Theory and Generalizations Associative Rings and Algebras Non-associative Rings and Algebras Commutative Rings and Algebras Field Theory and Polynomials Number Theory |
| ISBN | 981-10-4253-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Language of mathematics 1 (Logic) -- Chapter 2. Language Of Mathematics 2 (Set Theory) -- Chapter 3. Number System -- Chapter 4. Group Theory -- Chapter 5. Fundamental Theorems -- Chapter 6. Permutation groups and Classical Groups -- Chapter 7. Elementary Theory of Rings and Fields -- Chapter 8. Number Theory 2 -- Chapter 9. Structure theory of groups -- Chapter 10. Structure theory continued -- Chapter 11. Arithmetic in Rings. |
| Record Nr. | UNINA-9910254275103321 |
Lal Ramji
|
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebra 2 [[electronic resource] ] : Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier / / by Ramji Lal
| Algebra 2 [[electronic resource] ] : Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier / / by Ramji Lal |
| Autore | Lal Ramji |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XVIII, 432 p.) |
| Disciplina | 512.9 |
| Collana | Infosys Science Foundation Series in Mathematical Sciences |
| Soggetto topico |
Matrix theory
Algebra Associative rings Rings (Algebra) Commutative algebra Commutative rings Nonassociative rings Group theory Number theory Linear and Multilinear Algebras, Matrix Theory Associative Rings and Algebras Commutative Rings and Algebras Non-associative Rings and Algebras Group Theory and Generalizations Number Theory |
| ISBN | 981-10-4256-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Vector Space -- Chapter 2. Matrices and Linear Equations -- Chapter 3. Linear Transformations -- Chapter 4. Inner Product Space -- Chapter 5. Determinants and Forms -- Chapter 6. Canonical Forms, Jordan and Rational Forms -- Chapter 7. General Linear Algebra -- Chapter 8. Field Theory, Galois Theory -- Chapter 9. Representation Theory of Finite Groups -- Chapter 10. Group Extensions and Schur Multiplier. |
| Record Nr. | UNINA-9910254274803321 |
|
Lal Ramji
|
||
| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebra 3 : homological algebra and its applications / / Ramji Lal
| Algebra 3 : homological algebra and its applications / / Ramji Lal |
| Autore | Lal Ramji |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (310 pages) |
| Disciplina | 512.55 |
| Collana | Infosys Science Foundation series |
| Soggetto topico |
Algebra, Homological
Àlgebra homològica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-336-326-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Homological Algebra 1 -- 1.1 Categories and Functors -- 1.2 Abelian Categories -- 1.3 Category of Chain Complexes and Homology -- 1.4 Extensions and the Functor EXT -- 2 Homological Algebra 2, Derived Functors -- 2.1 Resolutions and Extensions -- 2.2 Tensor and Tor Functors -- 2.3 Abstract Theory of Derived Functors -- 2.4 Kunneth Formula -- 2.5 Spectral Sequences -- 3 Homological Algebra 3: Examples and Applications -- 3.1 Polyhedrons and Simplicial Homology -- 3.2 Applications -- 3.3 Co-homology of Groups -- 3.4 Calculus and Co-homology -- 4 Sheaf Co-homology and Its Applications -- 4.1 Presheaves and Sheaves -- 4.2 Sheaf Co-homology and ech Co-homology -- 4.3 Algebraic Varieties -- 4.4 Schemes -- 4.5 Weil Conjectures and l-adic Co-homology -- Appendix Bibliography -- -- Index. |
| Record Nr. | UNISA-996466565903316 |
|
Lal Ramji
|
||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Algebra 3 : homological algebra and its applications / / Ramji Lal
| Algebra 3 : homological algebra and its applications / / Ramji Lal |
| Autore | Lal Ramji |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (310 pages) |
| Disciplina | 512.55 |
| Collana | Infosys Science Foundation series |
| Soggetto topico |
Algebra, Homological
Àlgebra homològica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-336-326-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Homological Algebra 1 -- 1.1 Categories and Functors -- 1.2 Abelian Categories -- 1.3 Category of Chain Complexes and Homology -- 1.4 Extensions and the Functor EXT -- 2 Homological Algebra 2, Derived Functors -- 2.1 Resolutions and Extensions -- 2.2 Tensor and Tor Functors -- 2.3 Abstract Theory of Derived Functors -- 2.4 Kunneth Formula -- 2.5 Spectral Sequences -- 3 Homological Algebra 3: Examples and Applications -- 3.1 Polyhedrons and Simplicial Homology -- 3.2 Applications -- 3.3 Co-homology of Groups -- 3.4 Calculus and Co-homology -- 4 Sheaf Co-homology and Its Applications -- 4.1 Presheaves and Sheaves -- 4.2 Sheaf Co-homology and ech Co-homology -- 4.3 Algebraic Varieties -- 4.4 Schemes -- 4.5 Weil Conjectures and l-adic Co-homology -- Appendix Bibliography -- -- Index. |
| Record Nr. | UNINA-9910483882903321 |
|
Lal Ramji
|
||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal
| Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal |
| Autore | Lal Ramji |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (332 pages) |
| Disciplina | 512.9 |
| Collana | Infosys Science Foundation Series |
| Soggetto topico |
Algebra
Àlgebra Llibres de text |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0475-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Lie Algebras -- 1.1 Definitions and Examples -- 1.2 Universal Enveloping Algebras: PBW Theorem -- 1.3 Solvable and Nilpotent Lie Algebras -- 1.4 Semi-Simple Lie Algebras -- 1.5 Extensions of Lie Algebras and Co-homology -- 2 Semi-Simple Lie Algebras and Root Systems -- 2.1 Root Space Decomposition -- 2.2 Root Systems -- 2.3 Dynkin Diagram and the Classification of Root Systems -- 2.4 Conjugacy Theorem, Existence and Uniqueness Theorems -- 3 Representation Theory of Lie Algebras -- 3.1 Theorems of Ado and Iwasawa -- 3.2 Cyclic Modules and Weights -- 3.3 Characters and Harish-Chandra's Theorem -- 3.4 Multiplicity Formulas of Weyl, Kostant, and Steinberg -- 4 Chevalley Groups -- 4.1 Classical Linear Groups -- 4.2 Chevalley Basis -- 4.3 Chevalley Groups -- 4.4 Twisted Groups -- 5 Representation Theory of Chevalley Groups -- 5.1 Language of Representation Theory -- 5.2 Representations of Sn, and of GL(2.q) -- 5.3 Steinberg Characters -- 5.4 Principal and Discrete Series Representations -- 5.5 Deligne-Lusztig Generalized Characters -- Appendix Bibliography -- -- Index. |
| Altri titoli varianti | Algebra four |
| Record Nr. | UNISA-996466559403316 |
|
Lal Ramji
|
||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal
| Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal |
| Autore | Lal Ramji |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (332 pages) |
| Disciplina | 512.9 |
| Collana | Infosys Science Foundation Series |
| Soggetto topico |
Algebra
Àlgebra Llibres de text |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0475-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Lie Algebras -- 1.1 Definitions and Examples -- 1.2 Universal Enveloping Algebras: PBW Theorem -- 1.3 Solvable and Nilpotent Lie Algebras -- 1.4 Semi-Simple Lie Algebras -- 1.5 Extensions of Lie Algebras and Co-homology -- 2 Semi-Simple Lie Algebras and Root Systems -- 2.1 Root Space Decomposition -- 2.2 Root Systems -- 2.3 Dynkin Diagram and the Classification of Root Systems -- 2.4 Conjugacy Theorem, Existence and Uniqueness Theorems -- 3 Representation Theory of Lie Algebras -- 3.1 Theorems of Ado and Iwasawa -- 3.2 Cyclic Modules and Weights -- 3.3 Characters and Harish-Chandra's Theorem -- 3.4 Multiplicity Formulas of Weyl, Kostant, and Steinberg -- 4 Chevalley Groups -- 4.1 Classical Linear Groups -- 4.2 Chevalley Basis -- 4.3 Chevalley Groups -- 4.4 Twisted Groups -- 5 Representation Theory of Chevalley Groups -- 5.1 Language of Representation Theory -- 5.2 Representations of Sn, and of GL(2.q) -- 5.3 Steinberg Characters -- 5.4 Principal and Discrete Series Representations -- 5.5 Deligne-Lusztig Generalized Characters -- Appendix Bibliography -- -- Index. |
| Altri titoli varianti | Algebra four |
| Record Nr. | UNINA-9910484402103321 |
|
Lal Ramji
|
||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||