Friday, February 12 |
Algebra Seminar
Time: 16:00
Speaker: Adam Chapman (Michigan State University) Title: "Linkage of $p$-algebras of prime degree" Room: MC 107 Abstract: Quaternion algebras contain quadratic field extensions of the center. Given two algebras, a natural question to ask is whether they share a common field extension. This gives us an idea of how closely related those algebras are to one another. If the center is of characteristic 2 then those extensions divide into two types - the separable type and the inseparable type. It is known that if two quaternion algebras share an inseparable field extension then they also share a separable field extension and that the converse is not true. We shall discuss this fact and its generalization to $p$-algebras of arbitrary prime degree. |
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