Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of “homotopy” where they play a key role in organizing hierarchies of higher homotopies. Significant examples first appeared in the sixties though the formal definition […]
This second, companion volume contains 92 applications developing concepts and theorems presented or mentioned in the first volume. Introductions to and applications in several areas not previously covered are also included such as graded algebras with applications to Clifford algebras and (S)pin groups, Weyl Spinors, Majorana pinors, homotopy, supersmooth mappings […]
This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled “Connections on Principle Fibre Bundles” which includes sections on holonomy, […]
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