Noncommutative differential calculus on a quadratic algebra

PS Chakraborty, S Guin - Indian Journal of Pure and Applied Mathematics, 2015 - Springer
We consider the algebra k [X 2, XY, Y 2] where characteristic of the field k is zero. We
compute a differential calculus, introduced earlier by the authors, by associating an …

[PDF][PDF] Differential calculus and Yang-Mills functional in noncommutative geometry [HBNI Th79]

S Guin - 2014 - imsc.res.in
This thesis is concerned with analysis of spectral triples as indicated in the last chapter of
Connes [15] and the Yang-Mills action functional in noncommutative geometry. It is divided …