Variations of mass formulas for definite division algebras
Chia-Fu Yu
TL;DR
This paper organizes existing mass formulas related to definite central division algebras over global fields and derives new formulas, enhancing understanding of their structure and relationships.
Contribution
It systematically consolidates known mass formulas and introduces new ones for definite division algebras over global fields.
Findings
Compiled and organized existing mass formulas.
Derived new mass formulas for definite division algebras.
Enhanced understanding of algebraic mass relationships.
Abstract
The aim of this paper is to organize some known mass formulas arising from a definite central division algebra over a global field and to deduce some more new ones.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory