On natural coalgebra decompositions of tensor algebras and loop suspensions / Paul Selick, Jie Wu.

Format:

Book

Author/Creator:

Selick, Paul, 1950- author.

Wu, Jie, 1964- author.

Series:

Memoirs of the American Mathematical Society ; no. 701.

Memoirs of the American Mathematical Society, 0065-9266 ; number 701

Language:

English

Subjects (All):

Loop spaces.

H-spaces.

Representations of groups.

Physical Description:

1 online resource (122 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2000]

Language Note:

English

Summary:

This book is intended for graduate students and research mathematicians interested in topology and representation theory.

Contents:

""8.3. A coalgebra filtration on the functor A[sup(min)]""""8.4. A lower bound on the growth of A[sup(min)](V)""; ""9. Proof of Theorems 1.1 and 1.6""; ""10. The Functor L'[sub(n)] and the Associated k(Σ[sub(n)])-Module Lie'(n)""; ""11. Examples""; ""11.1. The functor A[sup(min)][sub(n)] for n â?? p""; ""11.2. The functor B[sup(max)]""; ""11.3. The symmetric group module Lie[sup(max)](p)""; ""11.4. Calculations for small n when p = 2""; ""11.5. Decompositions of ΩΣ[sup(2)]X for two-cell complexes X""; ""11.6. The PBW map in characteristic 0""; ""References""

Notes:

Description based upon print version of record.

Includes bibliographical references (page 109).

Description based on print version record.

ISBN:

1-4704-0292-0