Several Complex Variables With Connections to Algebraic Geometry and Lie Groups

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9780821831786: Several Complex Variables With Connections to Algebraic Geometry and Lie Groups

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Joseph Taylor
Edité par Amer Mathematical Society (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
Neuf(s) Couverture rigide Quantité : 1
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Description du livre Amer Mathematical Society, 2002. Hardcover. État : New. N° de réf. du libraire SONG082183178X

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2.

Joseph Taylor
Edité par American Mathematical Society (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
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Sequitur Books
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Description du livre American Mathematical Society, 2002. Hardcover. État : New. Brand new. We distribute directly for the publisher. This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail.Of particular interest are the last three chapters, which are devoted to applications of the preceding material to the study of the structure and representations of complex semisimple Lie groups. Included are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Miličić's proof of the Borel-Weil-Bott theorem, which makes extensive use of the material developed earlier in the text.There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for the expert. N° de réf. du libraire 1005120073

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3.

Joseph Taylor
Edité par Amer Mathematical Society (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
Neuf(s) Couverture rigide Quantité : 1
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Description du livre Amer Mathematical Society, 2002. État : New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: This text presents an integrated development of core material from several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraicsheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest arethe last three chapters, which are devoted to applications of the preceding material to the study of the structure theory and representation theory of complex semisimple Lie groups. Included are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem,which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for theexpert. N° de réf. du libraire ABE_book_new_082183178X

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4.

Joseph Taylor
Edité par American Mathematical Society, United States (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
Neuf(s) Couverture rigide Quantité : 1
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The Book Depository US
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Description du livre American Mathematical Society, United States, 2002. Hardback. État : New. 258 x 182 mm. Language: English . Brand New Book. This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre s celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest are the last three chapters, which are devoted to applications of the preceding material to the study of the structure and representations of complex semisimple Lie groups.Included in this text are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic s proof of the Borel-Weil-Bott theorem, which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for the expert. N° de réf. du libraire AAB9780821831786

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5.

Joseph Taylor
Edité par American Mathematical Society, United States (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
Neuf(s) Couverture rigide Quantité : 1
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The Book Depository
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Description du livre American Mathematical Society, United States, 2002. Hardback. État : New. 258 x 182 mm. Language: English . Brand New Book. This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre s celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest are the last three chapters, which are devoted to applications of the preceding material to the study of the structure and representations of complex semisimple Lie groups.Included in this text are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic s proof of the Borel-Weil-Bott theorem, which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for the expert. N° de réf. du libraire AAB9780821831786

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Joseph Taylor
Edité par Amer Mathematical Society (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
Neuf(s) Couverture rigide Quantité : 1
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Description du livre Amer Mathematical Society, 2002. Hardcover. État : New. N° de réf. du libraire DADAX082183178X

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7.

Joseph Taylor
Edité par Amer Mathematical Society (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
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Irish Booksellers
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Description du livre Amer Mathematical Society, 2002. Hardcover. État : New. book. N° de réf. du libraire 082183178X

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8.

Joseph Taylor
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Description du livre American Mathematical Society. Hardback. État : new. BRAND NEW, Several Complex Variables with Connections to Algebraic Geometry and Lie Groups, Joseph Taylor, This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest are the last three chapters, which are devoted to applications of the preceding material to the study of the structure and representations of complex semisimple Lie groups.Included in this text are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem, which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for the expert. N° de réf. du libraire B9780821831786

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Joseph Taylor
Edité par Amer Mathematical Society (2002)
ISBN 10 : 082183178X ISBN 13 : 9780821831786
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Description du livre Amer Mathematical Society, 2002. Hardcover. État : Brand New. 507 pages. 10.25x7.25x1.50 inches. In Stock. N° de réf. du libraire __082183178X

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Joseph Taylor
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ISBN 10 : 082183178X ISBN 13 : 9780821831786
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Description du livre Amer Mathematical Society. Hardcover. État : New. 082183178X New Condition. N° de réf. du libraire NEW4.0970564

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