Classical Clifford Algebras

Operator-Algebraic and Free-Probabilistic Approaches

Inbunden, Engelska, 2024

Av Ilwoo Cho, Iowa) Cho, Ilwoo (Saint Ambrose University

3 409 kr

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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.FeaturesIncludes multiple examples and applicationsSuitable for postgraduates and researchers working in Algebraic GeometryTakes an innovative approach to a well-established topic

Produktinformation

Utgivningsdatum2024-04-08
Mått156 x 234 x 12 mm
Vikt453 g
FormatInbunden
SpråkEngelska
SerieChapman & Hall/CRC Monographs and Research Notes in Mathematics
Antal sidor126
FörlagTaylor & Francis Ltd
ISBN9781032637112

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Part I. Motivation: On the Quaternions H. 1. Introduction of Part I. 2. On the Quaternions H. 3. Spectral Analysis on H Under (C2; π). 4. 4. On Noncommutative Field H Under (C2; π). 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 Ø A; T Ø ⴏ). 12. Deformed Semicircular Laws on (MG Ø A; T Ø ⴏ). 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.