TeXipedia

otimes

Represents a tensor product or cross product operation, commonly used in advanced mathematics and physics.

Overview

Essential in linear algebra, quantum mechanics, and theoretical physics for denoting tensor products between vector spaces or algebraic structures.

  • Frequently appears in tensor algebra and multilinear mathematics
  • Used to construct product spaces and describe composite quantum systems
  • Common in representation theory and advanced algebraic structures
  • Often encountered when describing mathematical operations between matrices or vectors

Examples

Tensor product of vector spaces V and W.

V⊗WV \otimes W 
V \otimes W

Kronecker product of matrices A and B.

A⊗B=(aijB)A \otimes B = (a_{ij}B) 
A \otimes B = (a_{ij}B)

Direct product of groups G and H.

G⊗H={(g,h):g∈G,h∈H}G \otimes H = \{(g,h) : g \in G, h \in H\} 
G \otimes H = \{(g,h) : g \in G, h \in H\}