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math.QA2005
Quantum principal bundles up to homotopy equivalence
Christian Kassel
We translate some fundamental properties satisfied by topological principal bundles into the setting of Hopf-Galois extensions. The properties are: functoriality, homotopy, and tri…
math.QA1999
The Hall algebra of the category of coherent sheaves on the projective line
Pierre Baumann, Christian Kassel
To an abelian category A of homological dimension 1 satisfying certain finiteness conditions, one can associate an algebra, called the Hall algebra. Kapranov studied this algebra w…