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Algebra [[electronic resource] ] : An Approach via Module Theory / / by William A. Adkins, Steven H. Weintraub
| Algebra [[electronic resource] ] : An Approach via Module Theory / / by William A. Adkins, Steven H. Weintraub |
| Autore | Adkins William A |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (X, 526 p.) |
| Disciplina | 512 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico | Algebra |
| ISBN | 1-4612-0923-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Groups -- 1.1 Definitions and Examples -- 1.2 Subgroups and Cosets -- 1.3 Normal Subgroups, Isomorphism Theorems, and Automorphism Groups -- 1.4 Permutation Representations and the Sylow Theorems -- 1.5 The Symmetric Group and Symmetry Groups -- 1.6 Direct and Semidirect Products -- 1.7 Groups of Low Order -- 1.8 Exercises -- 2 Rings -- 2.1 Definitions and Examples -- 2.2 Ideals, Quotient Rings, and Isomorphism Theorems -- 2.3 Quotient Fields and Localization -- 2.4 Polynomial Rings -- 2.5 Principal Ideal Domains and Euclidean Domains -- 2.6 Unique Factorization Domains -- 2.7 Exercises -- 3 Modules and Vector Spaces -- 3.1 Definitions and Examples -- 3.2 Submodules and Quotient Modules -- 3.3 Direct Sums, Exact Sequences, and Horn -- 3.4 Free Modules -- 3.5 Projective Modules -- 3.6 Free Modules over a PID -- 3.7 Finitely Generated Modules over PIDs -- 3.8 Complemented Submodules -- 3.9 Exercises -- 4 Linear Algebra -- 4.1 Matrix Algebra -- 4.2 Determinants and Linear Equations -- 4.3 Matrix Representation of Homomorphisms -- 4.4 Canonical Form Theory -- 4.5 Computational Examples -- 4.6 Inner Product Spaces and Normal Linear Transformations -- 4.7 Exercises -- 5 Matrices over PIDs -- 5.1 Equivalence and Similarity -- 5.2 Hermite Normal Form -- 5.3 Smith Normal Form -- 5.4 Computational Examples -- 5.5 A Rank Criterion for Similarity -- 5.6 Exercises -- 6 Bilinear and Quadratic Forms -- 6.1 Duality -- 6.2 Bilinear and Sesquilinear Forms -- 6.3 Quadratic Forms -- 6.4 Exercises -- 7 Topics in Module Theory -- 7.1 Simple and Semisimple Rings and Modules -- 7.2 Multilinear Algebra -- 7.3 Exercises -- 8 Group Representations -- 8.1 Examples and General Results -- 8.2 Representations of Abelian Groups -- 8.3 Decomposition of the Regular Representation -- 8.4 Characters -- 8.5 Induced Representations -- 8.6 Permutation Representations -- 8.7 Concluding Remarks -- 8.8 Exercises -- Index of Notation -- Index of Terminology. |
| Record Nr. | UNINA-9910480323503321 |
Adkins William A
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebra [[electronic resource] ] : An Approach via Module Theory / / by William A. Adkins, Steven H. Weintraub
| Algebra [[electronic resource] ] : An Approach via Module Theory / / by William A. Adkins, Steven H. Weintraub |
| Autore | Adkins William A |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (X, 526 p.) |
| Disciplina | 512 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico | Algebra |
| ISBN | 1-4612-0923-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Groups -- 1.1 Definitions and Examples -- 1.2 Subgroups and Cosets -- 1.3 Normal Subgroups, Isomorphism Theorems, and Automorphism Groups -- 1.4 Permutation Representations and the Sylow Theorems -- 1.5 The Symmetric Group and Symmetry Groups -- 1.6 Direct and Semidirect Products -- 1.7 Groups of Low Order -- 1.8 Exercises -- 2 Rings -- 2.1 Definitions and Examples -- 2.2 Ideals, Quotient Rings, and Isomorphism Theorems -- 2.3 Quotient Fields and Localization -- 2.4 Polynomial Rings -- 2.5 Principal Ideal Domains and Euclidean Domains -- 2.6 Unique Factorization Domains -- 2.7 Exercises -- 3 Modules and Vector Spaces -- 3.1 Definitions and Examples -- 3.2 Submodules and Quotient Modules -- 3.3 Direct Sums, Exact Sequences, and Horn -- 3.4 Free Modules -- 3.5 Projective Modules -- 3.6 Free Modules over a PID -- 3.7 Finitely Generated Modules over PIDs -- 3.8 Complemented Submodules -- 3.9 Exercises -- 4 Linear Algebra -- 4.1 Matrix Algebra -- 4.2 Determinants and Linear Equations -- 4.3 Matrix Representation of Homomorphisms -- 4.4 Canonical Form Theory -- 4.5 Computational Examples -- 4.6 Inner Product Spaces and Normal Linear Transformations -- 4.7 Exercises -- 5 Matrices over PIDs -- 5.1 Equivalence and Similarity -- 5.2 Hermite Normal Form -- 5.3 Smith Normal Form -- 5.4 Computational Examples -- 5.5 A Rank Criterion for Similarity -- 5.6 Exercises -- 6 Bilinear and Quadratic Forms -- 6.1 Duality -- 6.2 Bilinear and Sesquilinear Forms -- 6.3 Quadratic Forms -- 6.4 Exercises -- 7 Topics in Module Theory -- 7.1 Simple and Semisimple Rings and Modules -- 7.2 Multilinear Algebra -- 7.3 Exercises -- 8 Group Representations -- 8.1 Examples and General Results -- 8.2 Representations of Abelian Groups -- 8.3 Decomposition of the Regular Representation -- 8.4 Characters -- 8.5 Induced Representations -- 8.6 Permutation Representations -- 8.7 Concluding Remarks -- 8.8 Exercises -- Index of Notation -- Index of Terminology. |
| Record Nr. | UNINA-9910789344103321 |
|
Adkins William A
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebra [[electronic resource] ] : An Approach via Module Theory / / by William A. Adkins, Steven H. Weintraub
| Algebra [[electronic resource] ] : An Approach via Module Theory / / by William A. Adkins, Steven H. Weintraub |
| Autore | Adkins William A |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (X, 526 p.) |
| Disciplina | 512 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico | Algebra |
| ISBN | 1-4612-0923-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Groups -- 1.1 Definitions and Examples -- 1.2 Subgroups and Cosets -- 1.3 Normal Subgroups, Isomorphism Theorems, and Automorphism Groups -- 1.4 Permutation Representations and the Sylow Theorems -- 1.5 The Symmetric Group and Symmetry Groups -- 1.6 Direct and Semidirect Products -- 1.7 Groups of Low Order -- 1.8 Exercises -- 2 Rings -- 2.1 Definitions and Examples -- 2.2 Ideals, Quotient Rings, and Isomorphism Theorems -- 2.3 Quotient Fields and Localization -- 2.4 Polynomial Rings -- 2.5 Principal Ideal Domains and Euclidean Domains -- 2.6 Unique Factorization Domains -- 2.7 Exercises -- 3 Modules and Vector Spaces -- 3.1 Definitions and Examples -- 3.2 Submodules and Quotient Modules -- 3.3 Direct Sums, Exact Sequences, and Horn -- 3.4 Free Modules -- 3.5 Projective Modules -- 3.6 Free Modules over a PID -- 3.7 Finitely Generated Modules over PIDs -- 3.8 Complemented Submodules -- 3.9 Exercises -- 4 Linear Algebra -- 4.1 Matrix Algebra -- 4.2 Determinants and Linear Equations -- 4.3 Matrix Representation of Homomorphisms -- 4.4 Canonical Form Theory -- 4.5 Computational Examples -- 4.6 Inner Product Spaces and Normal Linear Transformations -- 4.7 Exercises -- 5 Matrices over PIDs -- 5.1 Equivalence and Similarity -- 5.2 Hermite Normal Form -- 5.3 Smith Normal Form -- 5.4 Computational Examples -- 5.5 A Rank Criterion for Similarity -- 5.6 Exercises -- 6 Bilinear and Quadratic Forms -- 6.1 Duality -- 6.2 Bilinear and Sesquilinear Forms -- 6.3 Quadratic Forms -- 6.4 Exercises -- 7 Topics in Module Theory -- 7.1 Simple and Semisimple Rings and Modules -- 7.2 Multilinear Algebra -- 7.3 Exercises -- 8 Group Representations -- 8.1 Examples and General Results -- 8.2 Representations of Abelian Groups -- 8.3 Decomposition of the Regular Representation -- 8.4 Characters -- 8.5 Induced Representations -- 8.6 Permutation Representations -- 8.7 Concluding Remarks -- 8.8 Exercises -- Index of Notation -- Index of Terminology. |
| Record Nr. | UNINA-9910811741403321 |
|
Adkins William A
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moduli spaces of Abelian surfaces [[electronic resource] ] : compactification, degenerations, and theta functions / / by Klaus Hulek, Constantin Kahn, Steven H. Weintraub
| Moduli spaces of Abelian surfaces [[electronic resource] ] : compactification, degenerations, and theta functions / / by Klaus Hulek, Constantin Kahn, Steven H. Weintraub |
| Autore | Hulek Klaus |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1993 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina | 516.3/53 |
| Altri autori (Persone) |
KahnConstantin <1960->
WeintraubSteven H |
| Collana | De Gruyter expositions in mathematics |
| Soggetto topico |
Moduli theory
Abelian varieties |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-089192-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- I Compactified moduli spaces -- 1 Moduli spaces -- 2 Torus embeddings and applications -- 3 Toroidal compactification of A(1, p) -- 4 The boundary of A*(1, p) -- 5 Humbert surfaces and scaffoldings -- 6 The Satake compactification -- II Degenerations of abelian surfaces -- 1 Mumford's construction -- 2 The basic construction for surfaces -- 3 Degenerate abelian surfaces (the principally polarized case) -- 4 Degenerate abelian surfaces (the case of (1,p)-polarization) -- 5 Polarizations on degenerate abelian surfaces -- III The Horrocks-Mumford map -- 1 The Horrocks-Mumford bundle -- 2 Construction of the Horrocks-Mumford map -- 3 Extension of the Horrocks-Mumford map to A(1, 5) -- 4 Extension of the Horrocks-Mumford map to A* (1, 5) -- Bibliography -- Glossary of Notations -- Index |
| Record Nr. | UNINA-9910462017003321 |
|
Hulek Klaus
|
||
| Berlin ; ; New York, : W. de Gruyter, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moduli spaces of Abelian surfaces [[electronic resource] ] : compactification, degenerations, and theta functions / / by Klaus Hulek, Constantin Kahn, Steven H. Weintraub
| Moduli spaces of Abelian surfaces [[electronic resource] ] : compactification, degenerations, and theta functions / / by Klaus Hulek, Constantin Kahn, Steven H. Weintraub |
| Autore | Hulek Klaus |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1993 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina | 516.3/53 |
| Altri autori (Persone) |
KahnConstantin <1960->
WeintraubSteven H |
| Collana | De Gruyter expositions in mathematics |
| Soggetto topico |
Moduli theory
Abelian varieties |
| ISBN | 3-11-089192-1 |
| Classificazione | SK 230 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- I Compactified moduli spaces -- 1 Moduli spaces -- 2 Torus embeddings and applications -- 3 Toroidal compactification of A(1, p) -- 4 The boundary of A*(1, p) -- 5 Humbert surfaces and scaffoldings -- 6 The Satake compactification -- II Degenerations of abelian surfaces -- 1 Mumford's construction -- 2 The basic construction for surfaces -- 3 Degenerate abelian surfaces (the principally polarized case) -- 4 Degenerate abelian surfaces (the case of (1,p)-polarization) -- 5 Polarizations on degenerate abelian surfaces -- III The Horrocks-Mumford map -- 1 The Horrocks-Mumford bundle -- 2 Construction of the Horrocks-Mumford map -- 3 Extension of the Horrocks-Mumford map to A(1, 5) -- 4 Extension of the Horrocks-Mumford map to A* (1, 5) -- Bibliography -- Glossary of Notations -- Index |
| Record Nr. | UNINA-9910785823003321 |
|
Hulek Klaus
|
||
| Berlin ; ; New York, : W. de Gruyter, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moduli spaces of Abelian surfaces [[electronic resource] ] : compactification, degenerations, and theta functions / / by Klaus Hulek, Constantin Kahn, Steven H. Weintraub
| Moduli spaces of Abelian surfaces [[electronic resource] ] : compactification, degenerations, and theta functions / / by Klaus Hulek, Constantin Kahn, Steven H. Weintraub |
| Autore | Hulek Klaus |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1993 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina | 516.3/53 |
| Altri autori (Persone) |
KahnConstantin <1960->
WeintraubSteven H |
| Collana | De Gruyter expositions in mathematics |
| Soggetto topico |
Moduli theory
Abelian varieties |
| ISBN | 3-11-089192-1 |
| Classificazione | SK 230 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- I Compactified moduli spaces -- 1 Moduli spaces -- 2 Torus embeddings and applications -- 3 Toroidal compactification of A(1, p) -- 4 The boundary of A*(1, p) -- 5 Humbert surfaces and scaffoldings -- 6 The Satake compactification -- II Degenerations of abelian surfaces -- 1 Mumford's construction -- 2 The basic construction for surfaces -- 3 Degenerate abelian surfaces (the principally polarized case) -- 4 Degenerate abelian surfaces (the case of (1,p)-polarization) -- 5 Polarizations on degenerate abelian surfaces -- III The Horrocks-Mumford map -- 1 The Horrocks-Mumford bundle -- 2 Construction of the Horrocks-Mumford map -- 3 Extension of the Horrocks-Mumford map to A(1, 5) -- 4 Extension of the Horrocks-Mumford map to A* (1, 5) -- Bibliography -- Glossary of Notations -- Index |
| Record Nr. | UNINA-9910824589903321 |
|
Hulek Klaus
|
||
| Berlin ; ; New York, : W. de Gruyter, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Siegel modular variety of degree two and level four / / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub
| The Siegel modular variety of degree two and level four / / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub |
| Autore | Lee Ronnie <1942-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
515 |
| Altri autori (Persone) |
LeeRonnie <1942->
WeintraubSteven H HoffmanJerome William <1952-> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Siegel domains
Modular groups Homology theory Hodge theory |
| ISBN | 1-4704-0220-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""The Siegel Modular Variety of Degree Two and Level Four""; ""0. Introduction""; ""1. Algebraic Background""; ""2. Geometric Background""; ""3. Taking Stock""; ""4. Type III A""; ""5. Type II A""; ""6. Type II B""; ""7. Type IV C""; ""8. Summing up""; ""Appendix. An exact sequence in homology""; ""References""; ""Cohomology of the Siegel Modular Group of Degree Two and Level Four""; ""1. Introduction""; ""2. The Building""; ""3. Cycles""; ""4. The Main Theorems""; ""References"" |
| Record Nr. | UNINA-9910788734403321 |
|
Lee Ronnie <1942->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Siegel modular variety of degree two and level four / / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub
| The Siegel modular variety of degree two and level four / / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub |
| Autore | Lee Ronnie <1942-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
515 |
| Altri autori (Persone) |
LeeRonnie <1942->
WeintraubSteven H HoffmanJerome William <1952-> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Siegel domains
Modular groups Homology theory Hodge theory |
| ISBN | 1-4704-0220-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""The Siegel Modular Variety of Degree Two and Level Four""; ""0. Introduction""; ""1. Algebraic Background""; ""2. Geometric Background""; ""3. Taking Stock""; ""4. Type III A""; ""5. Type II A""; ""6. Type II B""; ""7. Type IV C""; ""8. Summing up""; ""Appendix. An exact sequence in homology""; ""References""; ""Cohomology of the Siegel Modular Group of Degree Two and Level Four""; ""1. Introduction""; ""2. The Building""; ""3. Cycles""; ""4. The Main Theorems""; ""References"" |
| Record Nr. | UNINA-9910813651903321 |
|
Lee Ronnie <1942->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Siegel modular variety of degree two and level four / / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub
| The Siegel modular variety of degree two and level four / / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
515 |
| Altri autori (Persone) |
LeeRonnie <1942->
WeintraubSteven H HoffmanJerome William <1952-> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Siegel domains
Modular groups Homology theory Hodge theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0220-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""The Siegel Modular Variety of Degree Two and Level Four""; ""0. Introduction""; ""1. Algebraic Background""; ""2. Geometric Background""; ""3. Taking Stock""; ""4. Type III A""; ""5. Type II A""; ""6. Type II B""; ""7. Type IV C""; ""8. Summing up""; ""Appendix. An exact sequence in homology""; ""References""; ""Cohomology of the Siegel Modular Group of Degree Two and Level Four""; ""1. Introduction""; ""2. The Building""; ""3. Cycles""; ""4. The Main Theorems""; ""References"" |
| Record Nr. | UNINA-9910480596703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||