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CLIFFORD MODULES AND INVARIANTS OF QUADRATIC FORMS MAX AROUND (WITH AN APPENDIX BY LaPierre SERVE) Abstract. We construct new invariants of quadratic forms over commutative rings, using ideas from
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Clifford modules and invariants are mathematical objects used in the field of geometric algebra and representation theory. Clifford modules are modules over a Clifford algebra, which is a type of algebra generated by a vector space and a quadratic form. Invariants refer to properties or elements that remain unchanged under certain transformations or actions.
The requirement to file clifford modules and invariants depends on the specific context or application. In general, researchers, mathematicians, or individuals working in the field of geometric algebra or representation theory may need to generate and analyze clifford modules and invariants for their work or research projects.
Filling out clifford modules and invariants involves performing mathematical computations and analysis based on the specific problem or application at hand. The process usually requires a solid understanding of geometric algebra, representation theory, and relevant mathematical techniques. It may involve working with matrices, vector spaces, quadratic forms, and other mathematical objects.
The purpose of clifford modules and invariants is to study and understand various mathematical structures and properties in fields such as geometric algebra and representation theory. They provide a way to analyze and classify mathematical objects, identify symmetries or transformations, and explore relationships between different mathematical entities.
The specific information to be reported on clifford modules and invariants varies depending on the specific problem or application. It may include details about the underlying vector space, the quadratic form being used, the specific transformations or actions being considered, and any relevant invariants or properties being studied.
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