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Dialgebras and Related Operads (Lecture Notes in Mathematics) [Paperback]

J.-L. Loday (Author), A. Frabetti (Author), F. Chapoton (Author), F. Goichot (Author)

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Book Description

Publication Date: September 6, 2001 | ISBN-10: 3540421947 | ISBN-13: 978-3540421948 | Edition: 1

The main object of study of these four papers is the notion of associative dialgebras which are algebras equipped with two associative operations satisfying some more relations of the associative type. This notion is studied from a) the homological point of view: construction of the (co)homology theory with trivial coefficients and general coefficients, b) the operadic point of view: determination of the dual operad, that is the dendriform dialgebras which are strongly related with the planar binary trees, c) the algebraic point of view: Hopf structure and Milnor-Moore type theorem.

#outer_postBodyPS { display: none; } #psGradient { display: none; } #psPlaceHolder { display: none; } #psExpand { display: none; } The main object of study of these four papers is the notion of associative dialgebras which are algebras equipped with two associative operations satisfying some more relations of the associative type. This notion is studied from a) the homological point of view: construction of the (co)homology theory with trivial coefficients and general coefficients, b) the operadic point of view: determination of the dual operad, that is the dendriform dialgebras which are strongly related with the planar binary trees, c) the algebraic point of view: Hopf structure and Milnor-Moore type theorem.

Product Details

Paperback: 138 pages
Publisher: Springer; 1 edition (September 6, 2001)
Language: English
ISBN-10: 3540421947
ISBN-13: 978-3540421948
Product Dimensions: 9.2 x 6.1 x 0.3 inches
Shipping Weight: 8 ounces (View shipping rates and policies)
Amazon Best Sellers Rank: #5,328,103 in Books (See Top 100 in Books)

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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!

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First Sentence:
The four papers of this volume deal with new notions of algebras whose common feature is to have two generating operations. Read the first page

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Jean-Louis Loday, Alessandra Frabetti, Duke Math, Pure Appl, Proceedings of Renaissance Conferences

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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!

Citations (learn more)

This book cites 94 books:

Forward-Backward Stochastic Differential Equations and their Applications (Lecture Notes in Mathematics) by Jin Ma in Back Matter (1), and Back Matter (2)
Similarity Problems and Completely Bounded Maps (Lecture Notes in Mathematics) by Gilles Pisier in Back Matter (1), and Back Matter (2)
Grothendieck Duality and Base Change (Lecture Notes in Mathematics) by Brian Conrad in Back Matter
Total Colourings of Graphs (Lecture Notes in Mathematics (Springer-Verlag), 1623.) by H. P. Yap in Back Matter
Sequences, Discrepancies and Applications (Lecture Notes in Mathematics) by Michael Drmota in Back Matter

See all 94 books this book cites

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Books on Related Topics (learn more)

Handbook of Algebra, Volume 3 by Michiel Hazewinkel

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