result in representation theory
C17811
concept
A result in representation theory is a proven statement describing how algebraic structures, such as groups or algebras, can be represented by linear transformations on vector spaces and how these representations behave or decompose.
All labels observed (6)
| Label | Occurrences |
|---|---|
| result in representation theory canonical | 8 |
| theorem in representation theory | 6 |
| representation theorem | 3 |
| result in geometric representation theory | 2 |
| C*-algebra representation construction | 1 |
| statement about Galois representations | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: result in representation theory
Generated description
A result in representation theory is a proven statement describing how algebraic structures, such as groups or algebras, can be represented by linear transformations on vector spaces and how these representations behave or decompose.
Instances (19)
| Instance | Via concept surface |
|---|---|
| Weyl character formula | — |
| Harish-Chandra character formula | — |
| Plancherel theorem for real reductive groups | — |
| Serre’s conjecture on Galois representations | statement about Galois representations |
| Gelfand representation of commutative C*-algebras | representation theorem |
| Schur–Weyl duality | — |
| Peter–Weyl theorem | theorem in representation theory |
| Borel–Weil theorem | theorem in representation theory |
| Weyl dimension formula | — |
| Stone–von Neumann theorem | theorem in representation theory |
| Beilinson–Bernstein localization theorem | result in geometric representation theory |
| Harish-Chandra regularity theorem | theorem in representation theory |
| Burger–Iozzi–Wienhard inequalities for higher rank groups | — |
| Springer correspondence | theorem in representation theory |
| Gelfand–Naimark–Segal construction | representation theorem |
| Stone representation theorem | representation theorem |
| Maschke’s theorem | theorem in representation theory |
| Schur’s lemma | — |
| Bernstein–Zelevinsky classification | — |