Group theory

From Mathematics wiki

Contents 1 Basics 2 Discrete groups 3 Representation theory 4 Glossary 5 Continuous groups 6 Resources

Basics

• Group
• Rearrangement lemma
• Basis
• Representation space

• Symmetric group
• Permutation group
• Young tableau

Discrete groups

• Schur's lemma
• Character
• Great orthogonality theorem

Representation theory

• Schur polynomial

Glossary

• Dimensionality theorem

Continuous groups

• See: Lie group

Resources

• Books