
Classical Clifford Algebras
Operator-Algebraic and Free-Probabilistic Approaches
Ilwoo Cho(Author)
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 8. April 2024
Book
Hardback
126 pages
978-1-032-63711-2 (ISBN)
Description
Classical Clifford Algebras: Operator-Algebraic and Free-Probabilistic Approaches offers novel insights through operator-algebraic and free-probabilistic models. By employing these innovative methods, the author sheds new light on the intrinsic connections between Clifford algebras and various mathematical domains. This monograph should be an essential addition to the library of any researchers interested in Clifford Algebras or Algebraic Geometry more widely.
Features
Includes multiple examples and applications
Suitable for postgraduates and researchers working in Algebraic Geometry
Takes an innovative approach to a well-established topic
Features
Includes multiple examples and applications
Suitable for postgraduates and researchers working in Algebraic Geometry
Takes an innovative approach to a well-established topic
More details
Series
Language
English
Place of publication
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Academic and Postgraduate
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 12 mm
Weight
376 gr
ISBN-13
978-1-032-63711-2 (9781032637112)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
04/2024
1st Edition
Chapman and Hall
€232.99
Available for download

E-Book
04/2024
1st Edition
Chapman and Hall
€232.99
Available for download
Person
Ilwoo Cho is currently a professor at St. Ambrose University, Iowa. Dr Cho earned his PhD in Mathematics from the University of Iowa in 2005 and his master's degree from Sungkyunkwan University in 1999. Dr Cho's research interests include free probability, operator algebra and theory, combinatorics, and groupoid dynamical systems.
Content
Part I. Motivation: On the Quaternions H. 1. Introduction of Part I. 2. On the Quaternions H. 3. Spectral Analysis on H Under (C2; ?). 4. 4. On Noncommutative Field H Under (C2; ?). 5. Free-Probabilistic Data Induced by H. Part II. On the Classical Clifford Algebras. 6. Introduction of Part II. 7. Classical Clifford Algebras. 8. Free Probability on the Clifford-Group C*-Probability Space (MG ; T). 9. Free Probability on Certain Sub-Structures of (MG; T). Part III. The Clifford Group G and the Semicircular Law. 10. Introduction of Part III. 11. On the Tensor Product C*-Probability C-Spaces (MG O A; T O ?). 12. Deformed Semicircular Laws on (MG O A; T O ?). 13. Applications. Part IV. Representations of the Clifford Algebra C. 14. Introduction of Part IV. 15. The Clifford Algebra C Embedded in the CG C*-Algebra MG. 16. On the R-Banach *-Algebra C. 17. R-Adjointable-Operator-Theoretic Properties on C. 18. Discussions.