Belokurova, E. V. Chern-Weyl construction for complex Clifford algebras. (English. Russian original) Zbl 1004.15028 Mosc. Univ. Math. Bull. 55, No. 5, 23-27 (2000); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 5, 22-27 (2000). The author describes a general construction in order to obtain the characteristic classes of noncommutative algebras. She presents the calculations of the characteristic classes of finitely generated projective modules over the Clifford algebras \(Cl^n\) of the spaces \(\mathbb{C}^n\) with quadratic form \(\sum_{i=1}^n(x_i)^2\). Reviewer: V.V.Vlasov (Moskva) MSC: 15A66 Clifford algebras, spinors 16D40 Free, projective, and flat modules and ideals in associative algebras 16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) Keywords:characteristic classes for noncommutative algebras; Clifford algebras; finitely generated projective modules PDF BibTeX XML Cite \textit{E. V. Belokurova}, Mosc. Univ. Math. Bull. 55, No. 5, 22--27 (2000; Zbl 1004.15028); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 5, 22--27 (2000)