What Do You Know About Steinberg's Formula?
In the representation theory branch of mathematics, Steinberg's formula (or Steinberg formula) is the description of the variety of an unchangeable representation of a semisimple complex Lie polynomial and algebra in a tensor result of two final and irreducible representations. It is the same as the Clebsch–Gordan formula occasionally and an aftermath of the Weyl character formula.
- 1.
When was Steinberg's formula introduced?- A.
1961
- B.
1962
- C.
1963
- D.
1964
- 2.
What is a mathematical expression that can be evaluated in a finite number of operations?
- A.
Closed-form expression
- B.
Unitary representation
- C.
Denominator formulation
- D.
Multiplicity determinant
- 3.
Which parameter of the Steinberg's formula describes the characters of irreducible representations of compact Lie groups in terms of their highest weights?
- A.
Konstant Partition
- B.
Schur's theory
- C.
Unitary representation
- D.
Weyl character formula
- 4.
How many parts has the Peter–Weyl theorem?
- A.
1
- B.
2
- C.
3
- D.
4
- 5.
What is a compact, connected, abelian Lie subgroup in a compact Lie group?
- A.
Rank
- B.
Maxim
- C.
Torus
- D.
Portion
- 6.
Which is these is the dimension of a maximal torus in a compact Lie group called?
- A.
Rank
- B.
Deil
- C.
Area
- D.
Tori
- 7.
Which is a type of graph with some edges doubled or tripled?
- A.
Brown's curve
- B.
Linc's curve
- C.
Linc's diagram
- D.
Dynkin diagram
- 8.
What is an abstract group that admits a formal description in terms of reflections or kaleidoscopic mirrors?
- A.
Coxeter group
- B.
Lyman group
- C.
Linc group
- D.
Approxi group
- 9.
Which is a part of the Peter–Weyl theorem?
- A.
The complete reducibility of unitary representations of a compact Lie group
- B.
The orthonormal basis of unitary representations of a compact Lie group
- C.
The decomposition of square functions of a compact Lie group
- D.
The harmonic analysis of unitary representations of a compact Lie group
- 10.
When was the Weyl character formula first proved?
- A.
1920
- B.
1925
- C.
1930
- D.
1935
Questions: 12 | Attempts: 5566208 | Last updated: Mar 22, 2022
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