In the representation theory branch of mathematics, Schur's lemma is a popular theorem used for algebras and groups. Despite the fact that the theorem is outright basic, it has been very useful since it was created in the 20th century. For groups and algebras, the theorem uses different approaches. To find out more about Schur's lemma, sit back and enjoy the following questions.
If its endomorphism ring is a local ring
If its exomorphism ring is a local ring
If the external ring is a designer ring
If it has a well-designed and structured ring
Decomposable
Indecomposable
Compressed state
Precipitation
Simultaneous equations
Jeff theory
Linear equations
Algebra
Linear representation
Geometrical representation
Non-linear representation
Planar representation
Isaac Shcur
Issai Schur
John Schur
Michael Schur
Isothermic
Isomorphic
Amorphotic
Geometric
Scalar spaces
Vector spaces
Geometric representation
Concentric spaces
Trivial G-linear maps become the identity
Nontrivial G-linear maps become the identity
The linear map changes its position
More linear maps would be formed
-1
0
1
0.1
Ran(Φ) is larger than N
Ran(Φ) does not exist
Ran(Φ) is equal to N
Ran(Φ) is smaller than N