nLab Pilar Carrasco

Pilar Carrasco Carrasco is a Spanish mathematician and expert on homotopical and homological algebra, especially with regard to crossed modules and their higher dimensional analogues. In particular she is an expert on simplicial groups and their structure, and showed a version of the Dold-Kan correspondence between simplicial groups and hypercrossed complexes.

Her web page in the Departamento de Álgebra, at Granada is here.

Related entries

• hypercrossed complex

• Moore complex

Ph.D. thesis

• Pilar Carrasco, 1987, Complejos Hipercruzados, Cohomologia y Extensiones, Ph.D. thesis, Universidad de Granada.

Selected writings

• Pilar Carrasco and A. M. Cegarra, Group-theoretic Algebraic Models for Homotopy Types, J. Pure Appl. Alg., 75, (1991), 195 – 235.

• P. Carrasco and T. Porter, Coproduct of 2-crossed modules. Applications to a definition of a tensor product for 2-crossed complexes, Collectanea Mathematica, (DOI) 10.1007/s13348-015-0156-9.

On non-abelian cohomology with coefficients in braided 2-groups and symmetric 2-groups:

• Manuel Bullejos, Pilar Carrasco, Antonio M. Cegarra, Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg–MacLane’s classification theorem, Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 1 , July 1993 , pp. 163 - 189 (doi:10.1017/S0305004100071498)

category: people