# Questions tagged [young-tableaux]

For questions on the Young tableau, a combinatorial object useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.

199 questions
Filter by
Sorted by
Tagged with
33 views

100 views

### Partition of integer and its conjugate

For the partition $(6,4,4,2)$ of integer $16$, if we draw its Young diagram with four rows of boxes, one below the other, of size $6$, $4$, $4$, and $2$, then flipping the resulting Young diagram ...
• 3,137
49 views

### Combinatorics and Catalan Numbers [duplicate]

I was asked to investigate this question and to present my findings and I would like some sense of help and direction, I am very lost:-( 2n people, all of different heights How many ways are there ...
1 vote
29 views

### Embed U(5) to U(16) by specifying the 16-dimensional complex representation

$\DeclareMathOperator\SU{SU}\DeclareMathOperator\U{U}\DeclareMathOperator\Spin{Spin}$ My question concerns all the possible ways to embed SU(5) to U(16) by specifying the 16-dimensional complex ...
• 5,989
1 vote
Let $\lambda=(\lambda_1,\lambda_2,\ldots,\lambda_r)$ be a $r$-part partition of integer $N$ ($\lambda\vdash N$), i.e., $$\sum_{i=1}^r{\lambda_i}=N,$$ such that $\lambda_i\leq\lambda_j$ for \$r\geq j>...