Commutative Lie algebras and commutative cohomology in characteristic 2
نویسندگان
چکیده
منابع مشابه
Cohomology and Obstructions: Commutative Algebras
Associated with each of the classical cohomology theories in algebra has been a theory relating H (H as classically numbered) to obstructions to non-singular extensions and H with coefficients in a “center” to the non-singular extension theory (see [Eilenberg & MacLane (1947), Hochschild (1947), Hochschild (1954), MacLane (1958), Shukla (1961), Harrison (1962)]). In this paper we carry out the ...
متن کاملHigher Conjugation Cohomology in Commutative Hopf Algebras
We study the action of the symmetric group Σn on a tensor product of n − 1 copies of a commutative Hopf algebra A, defined by the second author [8]. We show that for ‘nice’ Hopf algebras, the cohomology algebra H∗(Σn;A⊗n−1) is independent of the coproduct if n.(n − 2)! is invertible in the ground ring. Let A be a graded, connected, unital, counital, associative, coassociative Hopf algebra. In s...
متن کاملA Cohomology Theory for Commutative Algebras. Ii1
1. Introduction. In the first paper of this series [l], henceforth referred to as I, we define a cohomology theory for a commutative algebra P with coefficients in an P-module M for which H2(R, M) is the group of singular extensions of P by M. In this paper we generalize to a cohomology 22(5, <b, M) where (S, <p) is a singular extension of P and M is an P-module. The second group is again a gro...
متن کاملA Cohomology Theory for Commutative Algebras. I1
1. Introduction. D. K. Harrison has recently developed a co-homology theory for commutative algebras over a field [2]. A few key theorems are proved and the results applied to the theory of local rings and eventually to algebraic geometry. The main problem is that both his definitions and proofs require involved calculations. In this paper we define a cohomology theory which (a) relies on more ...
متن کاملe–Quillen cohomology of commutative S-algebras
We de ne topological Andr e–Quillen cohomology of commutative S-algebras and construct a spectral sequence that calculates the Andr e–Quillen cohomology of commutative S-algebras over HFp. c © 1999 Elsevier Science B.V. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2020
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199720500467