Spinor norm for skew-hermitian forms over quaternion algebras
L.E. Arenas-Carmona, P. Quiroz
TL;DR
This paper completes the local spinor norm calculations for quaternionic skew-hermitian forms over rationals, providing key examples of class number computations to advance understanding in algebraic number theory.
Contribution
It provides the full set of local spinor norm computations for these forms, filling a gap in the existing mathematical literature.
Findings
Complete local spinor norm computations for quaternionic skew-hermitian forms.
Examples demonstrating class number calculations.
Enhanced understanding of algebraic structures over rationals.
Abstract
We complete all local spinor norm computations for quaternionic skew-hermitian forms over the field of rational numbers. Examples of class number computations are provided.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic and Geometric Analysis · Algebraic structures and combinatorial models