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Division Algebras, Supersymmetry and Higher Gauge Theory
Division Algebras Supersymmetry Higher Gauge Theory
2011/7/26
Division Algebras, Supersymmetry and Higher Gauge Theory.
Unitary SK_1 of semiramified graded and valued division algebras
Unitary SK_1 of semiramified graded valued division algebras
2010/12/9
Let D be a division algebra finite-dimensional over its center K. Then,SK1(D) = {d ∈ D∗ | NrdD(d) = 1} [D∗,D∗],where NrdD denotes the reduced norm and [D∗,D∗] is the co...
Simultaneous Embeddings of Finite Dimensional Division Algebras
Simultaneous Embeddings Finite Dimensional Division Algebras
2010/12/1
A celebrated theorem of P.M. Cohn [C] says that for any two division rings (not necessarily finite dimensional) over a field F, their amalgamated product over F is a domain which can be embedded in a ...
Lattices and Parameter Reduction in Division Algebras
Lattices Parameter Reduction Division Algebras
2010/10/29
Let k be an algebraically closed field of characteristic 0 and let D be a division algebra whose center F contains k. We shall say that D can be reduced to r parameters if D = D_0 tensor_{F_0} F, whe...