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Topological Insulators and C^*-Algebras: Theory and Numerical Practice
Topological Insulators C^*-Algebras Theory Numerical Practice
2011/3/2
We apply ideas from C-algebra to the study of disordered topological insulators.We extract certain almost commuting matrices from the free Fermi Hamiltonian,describing band projected coordinate matri...
Families of finite-dimensional Hopf algebras with the Chevalley property
Families of finite-dimensional Hopf algebras Chevalley property
2011/1/17
We introduce and study families of finite-dimensional Hopf algebras with the Chevalley property arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in...
Structure of semisimple Hopf algebras of dimension $p^2q^2$
semisimple Hopf algebra semisolvability character biproduct
2010/12/8
Let p, q be prime numbers with p4 < q, and k an algebraically closed field of characteristic 0. We show that semisimple Hopf algebras of dimension p2q2 can be constructed either from group algebras an...
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 ...