Sungtae Jun, In-Suk Kim
Abstract
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The orders in a quaternion algebra play a central role of the theory of Hecke operators. In this paper, we study the arithmetic properties of optimal embeddings of orders in a quaternion algebra over a dyadic local field.
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The orders in a quaternion algebra play a central role of the theory of Hecke operators. In this paper, we study the arithmetic properties of optimal embeddings of orders in a quaternion algebra over a dyadic local field.
Key concepts: Quaternion, Quaternion algebra, Algebra over a field, Mathematics, Field (mathematics), Pure mathematics, Division algebra, Algebra representation