Skip to main content
MathOverflow

Return to Question

Bumped by Community user
Bumped by Community user
edited tags
Link
YCor
YCor
  • 63.9k
  • 5
  • 187
  • 286
Bumped by Community user
deleted 37 characters in body
Source Link
Daniel Sebald
Daniel Sebald
  • 2.8k
  • 6
  • 19

How many lattices are there which contain both the $A_n$ and $D_n$ lattices of the same dimension as sublattices? So far, I’ve found three: the integer latticeexamples in 1D, the $E_8$ lattice3D, 8D, and the Leech lattice24D.

How many lattices are there which contain both the $A_n$ and $D_n$ lattices of the same dimension as sublattices? So far, I’ve found three: the integer lattice, the $E_8$ lattice, and the Leech lattice.

How many lattices are there which contain both the $A_n$ and $D_n$ lattices of the same dimension as sublattices? So far, I’ve found examples in 1D, 3D, 8D, and 24D.

Source Link
Daniel Sebald
Daniel Sebald
  • 2.8k
  • 6
  • 19

Lattices containing $A_n$ and $D_n$

How many lattices are there which contain both the $A_n$ and $D_n$ lattices of the same dimension as sublattices? So far, I’ve found three: the integer lattice, the $E_8$ lattice, and the Leech lattice.