Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups by Alexander J. Hahn - livro usado
ISBN: 9780387941103
Quadratic Algebras, Clifford Algebras, and Arithmetic Forms introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings. The book begins very elem… mais…
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1994, ISBN: 038794110X
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1993, ISBN: 038794110X
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1993, ISBN: 9780387941103
Buch, Softcover, Softcover reprint of the original 1st ed. 1994, [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 1993
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1993, ISBN: 038794110X
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Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups by Alexander J. Hahn - livro usado
ISBN: 9780387941103
Quadratic Algebras, Clifford Algebras, and Arithmetic Forms introduces mathematicians to the large and dynamic area of algebras and forms over commutative rings. The book begins very elem… mais…
Alexander J. Hahn:
Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups - Livro de bolso1994, ISBN: 038794110X
[EAN: 9780387941103], Gebraucht, guter Zustand, [PU: Springer-Verlag], DI, Spine is sunned. Cover is worn, especially along edges. Inside cover has previous owner's signature. Cover page … mais…
1993
ISBN: 038794110X
[EAN: 9780387941103], Neubuch, [PU: Springer], New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000., Books
1993, ISBN: 9780387941103
Buch, Softcover, Softcover reprint of the original 1st ed. 1994, [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 1993
1993, ISBN: 038794110X
[EAN: 9780387941103], Neubuch, [PU: Springer], New. In shrink wrap., Books
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Dados detalhados do livro - Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups
EAN (ISBN-13): 9780387941103
ISBN (ISBN-10): 038794110X
Livro de capa dura
Livro de bolso
Ano de publicação: 1993
Editor/Editora: Springer-Verlag New York Inc.
Livro na base de dados desde 2007-06-25T14:05:25-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-04-06T22:06:55-03:00 (Sao Paulo)
Número ISBN/EAN: 038794110X
Número ISBN - Ortografia alternativa:
0-387-94110-X, 978-0-387-94110-3
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: alexander hahn, leo hahn
Título do livro: clifford algebras, arithmetic quadratic, clifford algebra, clifford still, near algebras, mathematics, witt
Dados da editora
Autor: Alexander J. Hahn
Título: Universitext; Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups
Editora: Springer; Springer US
286 Páginas
Ano de publicação: 1993-12-17
New York; NY; US
Língua: Inglês
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XI, 286 p.
BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Arithmetic Forms; Clifford Algebras; K-theory; Quadratic Algebras; algebra; clifford algebra; lie algebra; lie group; manifold; matrix; polynomial; quadratic form; Algebra; EA
Notation and Terminology.- 1. Fundamental Concepts in the Theory of Algebras.- A. Free Quadratic Algebras.- B. Involutions on Algebras.- C. Gradings on Algebras.- D. Tensor Products and Graded Tensor Products.- E. Exercises.- 2. Separable Algebras.- A. Separability of Algebras.- B. Separability Idempotents.- C. Separable Free Quadratic Algebras.- D. Properties of Conjugation.- E. Exercises.- 3. Groups of Free Quadratic Algebras.- A. The Group Quf(R).- B. The Discriminant ?.- C. The Group QUf(R).- D. Another Look at (a, b)? * (b, c)?.- E. Exercises.- 4. Bilinear and Quadratic Forms.- A. Localization.- B. Bilinear Forms.- C. The Group Dis(R).- D. Quadratic Forms.- E. Exercises.- 5. Clifford Algebras: The Basics.- A. Definition and Existence.- B. Generation, Grading, and Involutions.- C. Graded Tensor Product.- D. Exterior Algebras.- E. Exercises.- 6. Algebras with Standard Involution.- A. Standard Involutions.- B. Free Quaternion Algebras.- C. Separability of Free Quaternion Algebras.- D. Nonsingular Algebras.- E. Exercises.- 7. Arf Algebras and Special Elements.- A. TheArf Algebra.- B. The Arf Algebra of an Orthogonal Sum.- C. Special Elements.- D. Exercises.- 8. Consequences of the Existence of Special Elements.- A. Connections between C(M) and C0(M).- B. Gradings Defined by Roots of X2 - aX - b.- C. Linear Maps with Polynomial X2 - aX - b.- D. Graded Properties of Representations.- E. Comparing the Tensor and Graded Tensor Products.- F. Exercises.- 9. Structure of Clifford and Arf Algebras.- A. More on Separable Algebras.- B. The Separability of C(M) and C0(M).- C. The Even-Odd Splitting of C(M).- D. The Structures of Cen C(M), Cen C0(M), and A(M).- E. Exercises.- 10. The Existence of Special Elements.- A. Separable Quadratic Algebras.- B. The Discriminant Module ofS.- C. Criteria for the Existence of Special Elements.- D. Special Elements and the Discriminant.- E. Exercises.- 11. Matrix Theory of Clifford Algebras over Fields.- A. Matrix Connections between C(M) and C0(M).- B. Basics about Quadratic Spaces.- C. Quaternion Algebras.- D. Periodicity Phenomena.- E. Local and Global Fields.- F. Exercises.- 12. Dis(R) and Qu(R).- A. The Quadratic Group Qu(R).- B. More about Dis(R).- C. Connecting Qu(R) with Dis(R).- D. The Case of an Integrally Closed Domain.- E. The Classical Discriminant.- F. Exercises.- 13. Brauer Groups and Witt Groups.- A. Brauer and Brauer-Wall Groups.- B. The Graded Quadratic Group QU(R).- C. The Witt Group of Quadratic Forms.- D. The Witt Group of Symmetric Bilinear Forms.- E. The Classical Situations.- F. Exercises.- 14. The Arithmetic of Wq(R).- A. Arithmetic Dedekind Domains.- B. The Arithmetic of Br(R)2.- C. AnalyzingWq(R).- D. Computing Qu(R?) and Wq(R?).- E. Connections between W(R) and Wq(R).- F. Exercises.- 15. Applications of Clifford Modules.- A. Clifford Modules.- B. Vector Fields on Spheres.- C. Connections with Topological K-Theory.- D. Lie Groups and Lie Algebras.- E. Dirac Operators.- F. Spin Manifolds.- G. Isoparametric Hypersurfaces.Outros livros adicionais, que poderiam ser muito similares com este livro:
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