Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups
.
Bookmark this Record
Catalogue Record 45969
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 45969
.
Reviews
Catalogue Record 45969
.
British Library
Resolver for RSN-45969
Google Scholar
Resolver for RSN-45969
WorldCat
Resolver for RSN-45969
Catalogo Nazionale SBN
Resolver for RSN-45969
GoogleBooks
Resolver for RSN-45969
ICTP Library
Resolver for RSN-45969
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512.57
Title
Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups ([EBook]) / by Alexander J. Hahn.
Author
Hahn, Alexander J. , 1943-
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer US, , 1994.
Physical Details
XI, 286 pages : online resource.
Series
Universitext
0172-5939
ISBN
9781468463118
Summary Note
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 elementary and progresses gradually in its degree of difficulty. Topics include the connection between quadratic algebras, Clifford algebras and quadratic forms, Brauer groups, the matrix theory of Clifford algebras over fields, Witt groups of quadratic and symmetric bilinear forms. Some of the new results included by the author concern the representation of Clifford algebras, the structure of Arf algebra in the free case, connections between the group of isomorphic classes of finitely generated projectives of rank one and arithmetic results about the quadratic Witt group.:
Contents note
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 of S -- 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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4684-6311-8
Links to Related Works
Subject References:
Algebra
.
Clifford algebras
.
Commutative rings
.
Forms, Quadratic
.
Authors:
Hahn, Alexander J. 1943-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Universitext
.
Classification:
512.57
.
.
ISBD Display
Catalogue Record 45969
.
Tag Display
Catalogue Record 45969
.
Related Works
Catalogue Record 45969
.
Marc XML
Catalogue Record 45969
.
Add Title to Basket
Catalogue Record 45969
.
Catalogue Information 45969
Beginning of record
.
Catalogue Information 45969
Top of page
.
Download Title
Catalogue Record 45969
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
45969
1
45969
-
2
45969
-
3
45969
-
4
45969
-
5
45969
-
Quick Search
Search for