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Tagged with lattices euclidean-lattices
3 questions
7
votes
2
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what is the number of paths returning to 0 on the hexagonal lattice
I am looking for an estimation of the number of paths of length $n$ going from 0 to 0 on the hexagonal (or honeycomb) lattice.
I can find plenty on references on self avoiding paths, but I am looking ...
- 1,352
5
votes
2
answers
513
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Even unimodular lattices with root system $32 A_1$
I'm studying Venkov's proof of the classification of even unimodular rank 24 lattices, and it prompted the following question.
For an even unimodular lattice $L$, let $R(L)= \{ x \in L : (x,x) =2\}$ ...
- 9,497
2
votes
2
answers
653
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What is the spinor genus of the Leech lattice?
The Leech lattice and the 23 Niemeier lattices make a single genus. How does it break up into spinor genera?
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