Tuesday, April 19, 14:00, 7.527
Christian Lomp (Porto),
On the construction of integrable differential
calculi on some non-commutative algebras.
An integrable differential calculus on an algebra A (in the sense of
Brzezinski) is an n-dimensional connected differential calculus \Omega=A\oplus
\Omega^1 \oplus \cdots \oplus \Omega^n with differential d, such that the de
complex (\Omega^*, d) is isomorphic to a certain complex, called the complex of
integral forms. In this talk we will discuss the construction of such
calculi for some non-commutative algebras, including some Hopf algebras, quantum
exterior algebras and Manin's quantum space.