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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

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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.

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