Unimodular
Encyclopedia
In mathematics
, unimodular may refer to any of the following:
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, unimodular may refer to any of the following:
- unimodular latticeUnimodular latticeIn mathematics, a unimodular lattice is a lattice of determinant 1 or −1.The E8 lattice and the Leech lattice are two famous examples.- Definitions :...
- unimodular matrixUnimodular matrixIn mathematics, a unimodular matrix M is a square integer matrix with determinant +1 or −1. Equivalently, it is an integer matrix that is invertible over the integers: there is an integer matrix N which is its inverse...
- unimodular polynomial matrixUnimodular polynomial matrixIn mathematics, a unimodular polynomial matrix is a square polynomial matrix whose inverse exists and is itself a polynomial matrix. Equivalently, a polynomial matrix A is unimodular if its determinant det is a nonzero constant.- External links :...
- unimodular formUnimodular formIn mathematics, in the module theory of a commutative ring, a bilinear form on a module V is unimodular if it induces an isomorphismV \to V^*.Here V^* denotes the dual module of V....
- unimodular group