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This tag is used if a reference is needed in a paper or textbook on a specific result.

2 votes
2 answers
499 views

reference request: variations on Pascal's triangle

Define Pascal's triangle as follows: it is an array $(T_{m,n})_{m, n \in \mathbf{Z}}$ of integers, satisfying if $m<0$, then $T_{m,n}=0$. $T_{0,0}=1$ and if $n \neq 0$, then $T_{0,n}=0$. if $m>0$, t …
John Palmieri's user avatar
6 votes
Accepted

Hopf algebra kernels vs. algebra kernels

The paper "A correspondence between bi-ideals and sub-Hopf algebras in cocommutative Hopf algebras" by K. Newman (J. Algebra, Volume 36, Issue 1, July 1975, Pages 1-15) may answer your question. See …
John Palmieri's user avatar
8 votes

Euclid with Birkhoff

If you're willing to use an unpublished manuscript, from the little I've looked at it, this book by Matthew Harvey looks pretty good. However, he uses Hilbert's axioms rather than Birkhoff's. Jack L …
John Palmieri's user avatar
9 votes

$Sq^1$ cohomology of spaces

Several people have addressed question 1 (Torsten Ekedahl and Neil Strickland). Question 2 is interesting, but I don't have a good answer for it. For question 3, as Sean Tilson points out, this is a …
John Palmieri's user avatar
7 votes

Reference request: Spec A_* is the automorphism group of the additive formal group law

If you're looking for a reference in print, it's in Ravenel's book Complex Cobordism and Stable Homotopy Groups of Spheres. See the comments after the proof of Theorem A2.2.18. (This book is availab …
John Palmieri's user avatar
15 votes
Accepted

Massey Products vs. $A_\infty$-Structures

When $n=3$, this is in Stasheff's H-spaces from a homotopy point of view, Chapter 12. For general $n$, it is in a paper of mine with Lu, Wu, and Zhang, "$A_\infty$-structures in Ext algebras, J. Pure …
John Palmieri's user avatar
5 votes
1 answer
301 views

Discriminants of Clifford algebras

I have a Clifford algebra defined over a field of characteristic not equal to $2$. Is there a formula for its discriminant in terms of the corresponding symmetric bilinear form (or in terms of its qua …
John Palmieri's user avatar