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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 \(\sum_{i=1}^n(x_i)^2\).
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.)