Quadratic Mappings and Clifford Algebras

After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automor...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Helmstetter, Jacques, Micali, Artibano
التنسيق: كتاب
اللغة:English
منشور في: Springer 2017
الموضوعات:
الوصول للمادة أونلاين:http://repository.vnu.edu.vn/handle/VNU_123/26552
الوسوم: إضافة وسم
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المؤسسة: Vietnam National University, Hanoi
اللغة: English
الوصف
الملخص:After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automorphisms of quadratic forms and Clifford algebras are based on the concept of the Lipschitz monoid, from which several groups are derived; and the Cartan-Chevalley theory of hyperbolic spaces becomes much more general, precise and effective.