1.

Record Nr.

UNINA9910811523203321

Titolo

Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1997]

©1997

ISBN

0-8218-7793-3

Descrizione fisica

1 online resource (458 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 202

Disciplina

512/.2

Soggetti

Operads

Ordered algebraic structures

Moduli theory

Representations of algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May-June 1995, Hartford, Connecticut/Luminy, France."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""Contents""; ""Preface""; ""Definitions: operads, algebras and modules""; ""The pre-history of operads""; ""Operads, algebras, and modules""; ""Relating the associahedron and the permutohedron""; ""Combinatorial models for real configuration spaces and En-operads""; ""From operads to 'physically' inspired theories""; ""Operades des algebres ( k + 1 )-aires""; ""Coproduct and cogroups in the category of graded dual Leibniz algebras""; ""Cohomology of monoids in monoidal categories""; ""Distributive laws, bialgebras, and cohomology""; ""Deformations of algebras over a quadratic operad""

""Q-rings and the homology of the symmetric groups""""0. Introduction""; ""1. Q-rings and modules""; ""2. The Kudo-Araki algebra K and its dual""; ""3. Free Q-rings""; ""4. The extended Milnor coalgebra A""; ""5. The Nishida relations""; ""6. Q-coalgebras""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""References""; ""Operadic tensor products and smash products""; ""Homotopy Gerstenhaber algebras and topological field theory""; ""Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories""



""Modular functor and representation theory of sl2 at a rational level""""Quantum generalized cohomology""; ""Non-commutative reciprocity laws associated to finite groups""; ""Index""