SchurRing

SchurRing -- the class of all Schur rings.

A Schur ring is the representation ring for the general linear group of n by n matrices, and one can be constructed with Schur.

i1 : R = Schur 4

o1 = R

o1 : SchurRing

The element corresponding to the Young diagram {3,2,1} is obtained as follows.

i2 : R_{3,2,1}

o2 = {3, 2, 1}

o2 : R

The dimension of the underlying virtual representation can be obtained with dim.

i3 : dim R_{3,2,1}

o3 = 64

Multiplication in the ring comes from tensor product of representations.

i4 : R_{3,2,1} * R_{1,1}

o4 = 0

o4 : R

See also _, SchurRing, and List.


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