9780821821107

On Natural Coalgebra Decompositions of Tensor Algebras and Loop Suspensions

by ;
  • ISBN13:

    9780821821107

  • ISBN10:

    0821821105

  • Format: Paperback
  • Copyright: 2000-11-01
  • Publisher: Amer Mathematical Society

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

  • Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • Get Rewarded for Ordering Your Textbooks! Enroll Now
List Price: $52.00 Save up to $5.20
  • Rent Book $46.80
    Add to Cart Free Shipping

    TERM
    PRICE
    DUE

Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Summary

Introduction Natural coalgebra transformations of tensor algebras Geometric realizations and the proof of Theorem 1.3 Existence of minimal natural coalgebra retracts of tensor algebras Some lemmas on coalgebras Functorial version of the Poincare-Birkhoff-Whitt theorem Projective $\mathbf{k}(S_n)$-submodules of Lie$(n)$ The functor $A^{\mathrm{min}}$ over a field of characteristic $p>0$ Proof of Theorems 1.1 and 1.6 The functor $L^\prime_n$ and the associated $\mathbf{k}(\Sigma_n)$-module $\mathrm{Lie}^\prime(n)$ Examples References

Table of Contents

Introduction
Natural coalgebra transformations of tensor algebras
Geometric realizations and the proof of Theorem 1.3
Existence of minimal natural coalgebra retracts of tensor algebras
Some lemmas on coalgebras Functorial version of the Poincare-Birkhoff-Whitt theorem
Projective $\mathbf{k}(S_n)$-submodules of Lie$(n)$
The functor $A^{\mathrm{min}}$ over a field of characteristic $p>0$ Proof of Theorems 1.1 and 1.6
The functor $L^\prime_n$ and the associated $\mathbf{k}(\Sigma_n)$-module $\mathrm{Lie}^\prime(n)$ Examples
References
Table of Contents provided by Publisher. All Rights Reserved.

Rewards Program

Write a Review