All Questions
Tagged with algebraic-combinatorics reference-request
9
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Lift and frame matroids.
I want to read more about lift matroid and frame matroid and their flats and relations to signed graphs, do you know any basic resources for this?
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Is there generalization of the natural numbers?
Natural numbers are defined inductively https://softwarefoundations.cis.upenn.edu/lf-current/Basics.html#lab30 as s(s(...s(0)...)).
Such definition is nothing special, especially when one can ...
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Seeking Algebraic Number Fields introductory text at amateur level.
I'm exploring "Singular Binary Bracelets": size p=2q+1 with p,q prime, q unit beads, resultant amplitude squared is integer. I will try to explain why I think that 'Algebraic Number fields' is needed, ...
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reference request: Type A crystal proof of Schur-positivity
In this question: https://mathoverflow.net/questions/272306/what-techniques-are-there-to-prove-schur-positivity, one of the techniques listed to prove Schur-positivity is called a Type-A crystal proof,...
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Reference request: Representation theory over fields of characteristic zero
Many representation theory textbooks and online resources work with the field of complex numbers or more generally algebraically closed fields of characteristic zero. I am looking for a good textbook ...
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Known results on the relationship between automorphisms and spectrum of a graph?
I recently saw this post from Ed Pegg on Math Stack Exchange about integral graphs with trivial automorphism groups. I am interested in trying to construct smaller such graphs - at the very least, I ...
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What book about algebraic combinatorics is it?
Recently I found a fragment of a book about algebraic combinatorics on the internet coincidentally. And I found it's really an excellent resource of learning polynomial method, about Combinatorial ...
36
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Undergrad-level combinatorics texts easier than Stanley's Enumerative Combinatorics?
I am an undergrad, math major, and I had basic combinatorics class using Combinatorics and Graph Theory by Harris et al before (undergrad level). Currently reading Stanley's Enumerative Combinatorics ...
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Is there anywhere some explicit Bruhat decompositions are written down?
Question in title: most places I see Bruhat decompositions treated they're only briefly mentioned and no examples are given.
Also, I calculated the following regarding the Bruhat decomposition of $\...